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Finding the Fourth Proportional to 382.05, 572.91 and 138.61

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Solution

The fourth proportional to 382.05, 572.91 and 138.61 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 572.91 = 138.61 : x
  2. Step 2: Convert to fraction form
    382.05/572.91 = 138.61/x
  3. Step 3: Cross multiply
    382.05x = 572.91 × 138.61
  4. Step 4: Simplify right side
    382.05x = 79,411.25
  5. Step 5: Solve for x
    x = 79,411.25/382.05
  6. Step 6: Final answer
    x = 207.86

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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.