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Finding the Fourth Proportional to 382.69, 574.11 and 187.78

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Solution

The fourth proportional to 382.69, 574.11 and 187.78 is: 281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 574.11 = 187.78 : x
  2. Step 2: Convert to fraction form
    382.69/574.11 = 187.78/x
  3. Step 3: Cross multiply
    382.69x = 574.11 × 187.78
  4. Step 4: Simplify right side
    382.69x = 107,806.38
  5. Step 5: Solve for x
    x = 107,806.38/382.69
  6. Step 6: Final answer
    x = 281.71

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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.