Finding the Fourth Proportional to 196.50, 294.69 and 120

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 294.69 = 120 : x
2. Step 2: Convert to fraction form
   196.50/294.69 = 120/x
3. Step 3: Cross multiply
   196.50x = 294.69 × 120
4. Step 4: Simplify right side
   196.50x = 35,362.80
5. Step 5: Solve for x
   x = 35,362.80/196.50
6. Step 6: Final answer
   x = 179.96