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Finding the Fourth Proportional to 252.77, 379.25 and 204.47

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Solution

The fourth proportional to 252.77, 379.25 and 204.47 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.77 : 379.25 = 204.47 : x
  2. Step 2: Convert to fraction form
    252.77/379.25 = 204.47/x
  3. Step 3: Cross multiply
    252.77x = 379.25 × 204.47
  4. Step 4: Simplify right side
    252.77x = 77,545.25
  5. Step 5: Solve for x
    x = 77,545.25/252.77
  6. Step 6: Final answer
    x = 306.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.