Finding the Fourth Proportional to 164.82, 225.38 and 164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   164.82 : 225.38 = 164.82 : x
2. Step 2: Convert to fraction form
   164.82/225.38 = 164.82/x
3. Step 3: Cross multiply
   164.82x = 225.38 × 164.82
4. Step 4: Simplify right side
   164.82x = 37,146.31
5. Step 5: Solve for x
   x = 37,146.31/164.82
6. Step 6: Final answer
   x = 225.38