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Finding the Fourth Proportional to 381.46, 572.04 and 137.92

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Solution

The fourth proportional to 381.46, 572.04 and 137.92 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 572.04 = 137.92 : x
  2. Step 2: Convert to fraction form
    381.46/572.04 = 137.92/x
  3. Step 3: Cross multiply
    381.46x = 572.04 × 137.92
  4. Step 4: Simplify right side
    381.46x = 78,895.76
  5. Step 5: Solve for x
    x = 78,895.76/381.46
  6. Step 6: Final answer
    x = 206.83

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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.