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Finding the Fourth Proportional to 196.40, 294.12 and 147.80

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Solution

The fourth proportional to 196.40, 294.12 and 147.80 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 294.12 = 147.80 : x
  2. Step 2: Convert to fraction form
    196.40/294.12 = 147.80/x
  3. Step 3: Cross multiply
    196.40x = 294.12 × 147.80
  4. Step 4: Simplify right side
    196.40x = 43,470.94
  5. Step 5: Solve for x
    x = 43,470.94/196.40
  6. Step 6: Final answer
    x = 221.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.