Finding the Fourth Proportional to 196.50, 294.82 and 142.30

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 294.82 = 142.30 : x
2. Step 2: Convert to fraction form
   196.50/294.82 = 142.30/x
3. Step 3: Cross multiply
   196.50x = 294.82 × 142.30
4. Step 4: Simplify right side
   196.50x = 41,951.79
5. Step 5: Solve for x
   x = 41,951.79/196.50
6. Step 6: Final answer
   x = 213.50