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Finding the Fourth Proportional to 392.19, 588.15 and 132.12

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Solution

The fourth proportional to 392.19, 588.15 and 132.12 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.19 : 588.15 = 132.12 : x
  2. Step 2: Convert to fraction form
    392.19/588.15 = 132.12/x
  3. Step 3: Cross multiply
    392.19x = 588.15 × 132.12
  4. Step 4: Simplify right side
    392.19x = 77,706.38
  5. Step 5: Solve for x
    x = 77,706.38/392.19
  6. Step 6: Final answer
    x = 198.14

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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.