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Finding the Fourth Proportional to 382, 572.82 and 138.52

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Solution

The fourth proportional to 382, 572.82 and 138.52 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 572.82 = 138.52 : x
  2. Step 2: Convert to fraction form
    382/572.82 = 138.52/x
  3. Step 3: Cross multiply
    382x = 572.82 × 138.52
  4. Step 4: Simplify right side
    382x = 79,347.03
  5. Step 5: Solve for x
    x = 79,347.03/382
  6. Step 6: Final answer
    x = 207.71

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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.