This page explains how to find the Qua Raym shrine and solve the "A Balanced Approach" puzzle.
How to Find the Shrine
This shrine is west of Eldin Tower, on an island in the lava. You can find it if you go west on the road that goes past Eldin Tower and then go south after pass some metal fences on the left. Use Magnesis on the crates in the lava to reach the shrine.
How to Solve the Shrine
Use a fire arrow to burn the wooden crate on the scale in the middle of the room. If you don't have fire arrows, shoot a regular arrow through one of the torches on the far side of the room.
Then open the chest that is on the other side of the scale. It contains a small key.
Use the key to open the locked door on the far side of the room. Use Magnesis to pull out a metal box. To get the other treasure chest in this shrine, use Magnesis to push a metal box against the underside of the upside-down scale. Push up the side of the scale that is farthest away from the treasure chest. Then move the metal box next to the stairs near the other side of the scale. Jump onto the metal box, then jump onto that side of the scale. Then use the metal box to push down the far side of the scale. You will be raised up to the ledge with the treasure chest. It contains a Knight's Claymore.
Then go back to the other scale, and put a bomb on the side where you got the small key. Then put a metal box on the other side, and when the bomb is near the cracked stones up above, detonate it.
Put the two stone barrels on the far side of the scale, then use a metal box to push down the side that is under the spikes. Put two metal boxes on the side under the spikes, then put a metal box on the far side. Stand on the side with the two boxes, then make sure that your side has two metal boxes on it, and the other side has two stone barrels and one metal box on it. Then use Magnesis to push one of the two metal boxes off of your side. The scale will go up slowly enough that you won't hit the spikes at the top.
Go talk to Qua Raym to get the Spirit Orb.