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Finding the Fourth Proportional to 382.12, 572.83 and 138.47

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Solution

The fourth proportional to 382.12, 572.83 and 138.47 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 572.83 = 138.47 : x
  2. Step 2: Convert to fraction form
    382.12/572.83 = 138.47/x
  3. Step 3: Cross multiply
    382.12x = 572.83 × 138.47
  4. Step 4: Simplify right side
    382.12x = 79,318.71
  5. Step 5: Solve for x
    x = 79,318.71/382.12
  6. Step 6: Final answer
    x = 207.58

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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.