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Finding the Fourth Proportional to 381.61, 572.45 and 176.24

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Solution

The fourth proportional to 381.61, 572.45 and 176.24 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 572.45 = 176.24 : x
  2. Step 2: Convert to fraction form
    381.61/572.45 = 176.24/x
  3. Step 3: Cross multiply
    381.61x = 572.45 × 176.24
  4. Step 4: Simplify right side
    381.61x = 100,885.73
  5. Step 5: Solve for x
    x = 100,885.73/381.61
  6. Step 6: Final answer
    x = 264.37

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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.