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Finding the Fourth Proportional to 381.89, 572.97 and 138.43

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Solution

The fourth proportional to 381.89, 572.97 and 138.43 is: 207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 572.97 = 138.43 : x
  2. Step 2: Convert to fraction form
    381.89/572.97 = 138.43/x
  3. Step 3: Cross multiply
    381.89x = 572.97 × 138.43
  4. Step 4: Simplify right side
    381.89x = 79,314.80
  5. Step 5: Solve for x
    x = 79,314.80/381.89
  6. Step 6: Final answer
    x = 207.69

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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.