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Finding the Fourth Proportional to 381.89, 572.49 and 176.35

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Solution

The fourth proportional to 381.89, 572.49 and 176.35 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 572.49 = 176.35 : x
  2. Step 2: Convert to fraction form
    381.89/572.49 = 176.35/x
  3. Step 3: Cross multiply
    381.89x = 572.49 × 176.35
  4. Step 4: Simplify right side
    381.89x = 100,957.73
  5. Step 5: Solve for x
    x = 100,957.73/381.89
  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.