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Finding the Fourth Proportional to 392.62, 588.88 and 132.61

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Solution

The fourth proportional to 392.62, 588.88 and 132.61 is: 198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 588.88 = 132.61 : x
  2. Step 2: Convert to fraction form
    392.62/588.88 = 132.61/x
  3. Step 3: Cross multiply
    392.62x = 588.88 × 132.61
  4. Step 4: Simplify right side
    392.62x = 78,087.77
  5. Step 5: Solve for x
    x = 78,087.77/392.62
  6. Step 6: Final answer
    x = 198.89

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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.