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Finding the Fourth Proportional to 381.76, 572.82 and 189.52

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Solution

The fourth proportional to 381.76, 572.82 and 189.52 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.76 : 572.82 = 189.52 : x
  2. Step 2: Convert to fraction form
    381.76/572.82 = 189.52/x
  3. Step 3: Cross multiply
    381.76x = 572.82 × 189.52
  4. Step 4: Simplify right side
    381.76x = 108,560.85
  5. Step 5: Solve for x
    x = 108,560.85/381.76
  6. Step 6: Final answer
    x = 284.37

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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.