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Finding the Fourth Proportional to 252.43, 380.84 and 251.76

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Solution

The fourth proportional to 252.43, 380.84 and 251.76 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.43 : 380.84 = 251.76 : x
  2. Step 2: Convert to fraction form
    252.43/380.84 = 251.76/x
  3. Step 3: Cross multiply
    252.43x = 380.84 × 251.76
  4. Step 4: Simplify right side
    252.43x = 95,877.74
  5. Step 5: Solve for x
    x = 95,877.74/252.43
  6. Step 6: Final answer
    x = 379.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.