Let's analyze the problem step by step:

1. Initial direction: The man is initially facing west.
2. First turn: He turns 45 degrees clockwise.
   • Clockwise from west, 45 degrees brings him to northwest.
3. Second turn: He turns 180 degrees clockwise.
   • From northwest, a 180-degree turn clockwise brings him to the southeast.
4. Third turn: He turns 270 degrees anticlockwise.
   • From southeast, a 270-degree turn anticlockwise brings him to the southwest.

So, after all the turns, the man is facing the southwest direction.

Would you like any details or further explanation on this?

Here are 5 related questions for practice:

1. If the man had turned 90 degrees clockwise instead of 45 degrees, where would he be facing?
2. What direction would he face after turning 360 degrees clockwise from west?
3. What if the final turn was 90 degrees anticlockwise instead of 270 degrees?
4. How does a 90-degree clockwise turn from southwest position affect the direction?
5. What is the equivalent counterclockwise turn for a 180-degree clockwise turn?

Tip: Remember, a full circle has 360 degrees, so any rotation beyond this can be simplified by subtracting multiples of 360.