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Finding the Fourth Proportional to 381.68, 572.56 and 138.16

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Solution

The fourth proportional to 381.68, 572.56 and 138.16 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 572.56 = 138.16 : x
  2. Step 2: Convert to fraction form
    381.68/572.56 = 138.16/x
  3. Step 3: Cross multiply
    381.68x = 572.56 × 138.16
  4. Step 4: Simplify right side
    381.68x = 79,104.89
  5. Step 5: Solve for x
    x = 79,104.89/381.68
  6. Step 6: Final answer
    x = 207.25

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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.