Finding the Fourth Proportional to 200.52, 300.42 and 142.56

Step by Step Solution

1. Step 1: Write the proportion equation
   200.52 : 300.42 = 142.56 : x
2. Step 2: Convert to fraction form
   200.52/300.42 = 142.56/x
3. Step 3: Cross multiply
   200.52x = 300.42 × 142.56
4. Step 4: Simplify right side
   200.52x = 42,827.88
5. Step 5: Solve for x
   x = 42,827.88/200.52
6. Step 6: Final answer
   x = 213.58