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Finding the Fourth Proportional to 381.48, 572.26 and 137.94

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Solution

The fourth proportional to 381.48, 572.26 and 137.94 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.48 : 572.26 = 137.94 : x
  2. Step 2: Convert to fraction form
    381.48/572.26 = 137.94/x
  3. Step 3: Cross multiply
    381.48x = 572.26 × 137.94
  4. Step 4: Simplify right side
    381.48x = 78,937.54
  5. Step 5: Solve for x
    x = 78,937.54/381.48
  6. Step 6: Final answer
    x = 206.92

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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.