Finding the Fourth Proportional to 142.84, 216.04 and 142.04

Step by Step Solution

1. Step 1: Write the proportion equation
   142.84 : 216.04 = 142.04 : x
2. Step 2: Convert to fraction form
   142.84/216.04 = 142.04/x
3. Step 3: Cross multiply
   142.84x = 216.04 × 142.04
4. Step 4: Simplify right side
   142.84x = 30,686.32
5. Step 5: Solve for x
   x = 30,686.32/142.84
6. Step 6: Final answer
   x = 214.83