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Finding the Fourth Proportional to 392.01, 588.05 and 132.14

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Solution

The fourth proportional to 392.01, 588.05 and 132.14 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 588.05 = 132.14 : x
  2. Step 2: Convert to fraction form
    392.01/588.05 = 132.14/x
  3. Step 3: Cross multiply
    392.01x = 588.05 × 132.14
  4. Step 4: Simplify right side
    392.01x = 77,701.33
  5. Step 5: Solve for x
    x = 77,701.33/392.01
  6. Step 6: Final answer
    x = 198.21

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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.