Finding the Fourth Proportional to 185.29, 255.42 and 164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185.29 : 255.42 = 164.50 : x
2. Step 2: Convert to fraction form
   185.29/255.42 = 164.50/x
3. Step 3: Cross multiply
   185.29x = 255.42 × 164.50
4. Step 4: Simplify right side
   185.29x = 42,015.95
5. Step 5: Solve for x
   x = 42,015.95/185.29
6. Step 6: Final answer
   x = 226.76