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Finding the Fourth Proportional to 381.66, 572.14 and 138.13

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Solution

The fourth proportional to 381.66, 572.14 and 138.13 is: 207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 572.14 = 138.13 : x
  2. Step 2: Convert to fraction form
    381.66/572.14 = 138.13/x
  3. Step 3: Cross multiply
    381.66x = 572.14 × 138.13
  4. Step 4: Simplify right side
    381.66x = 79,029.35
  5. Step 5: Solve for x
    x = 79,029.35/381.66
  6. Step 6: Final answer
    x = 207.07

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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.