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Finding the Fourth Proportional to 381.44, 572.24 and 137.97

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Solution

The fourth proportional to 381.44, 572.24 and 137.97 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 572.24 = 137.97 : x
  2. Step 2: Convert to fraction form
    381.44/572.24 = 137.97/x
  3. Step 3: Cross multiply
    381.44x = 572.24 × 137.97
  4. Step 4: Simplify right side
    381.44x = 78,952.30
  5. Step 5: Solve for x
    x = 78,952.30/381.44
  6. Step 6: Final answer
    x = 206.98

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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.