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Finding the Fourth Proportional to 382.24, 572.68 and 138.61

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Solution

The fourth proportional to 382.24, 572.68 and 138.61 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 572.68 = 138.61 : x
  2. Step 2: Convert to fraction form
    382.24/572.68 = 138.61/x
  3. Step 3: Cross multiply
    382.24x = 572.68 × 138.61
  4. Step 4: Simplify right side
    382.24x = 79,379.17
  5. Step 5: Solve for x
    x = 79,379.17/382.24
  6. Step 6: Final answer
    x = 207.67

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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.