Finding the Fourth Proportional to 142.38, 196.56 and 120.24

Step by Step Solution

1. Step 1: Write the proportion equation
   142.38 : 196.56 = 120.24 : x
2. Step 2: Convert to fraction form
   142.38/196.56 = 120.24/x
3. Step 3: Cross multiply
   142.38x = 196.56 × 120.24
4. Step 4: Simplify right side
   142.38x = 23,634.37
5. Step 5: Solve for x
   x = 23,634.37/142.38
6. Step 6: Final answer
   x = 166.00