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Finding the Fourth Proportional to 658.38, 987.56 and 196.14

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Solution

The fourth proportional to 658.38, 987.56 and 196.14 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 987.56 = 196.14 : x
  2. Step 2: Convert to fraction form
    658.38/987.56 = 196.14/x
  3. Step 3: Cross multiply
    658.38x = 987.56 × 196.14
  4. Step 4: Simplify right side
    658.38x = 193,700.02
  5. Step 5: Solve for x
    x = 193,700.02/658.38
  6. Step 6: Final answer
    x = 294.21

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Why These Related Problems?

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