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Finding the Fourth Proportional to 252.87, 379.68 and 206.73

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Solution

The fourth proportional to 252.87, 379.68 and 206.73 is: 310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.87 : 379.68 = 206.73 : x
  2. Step 2: Convert to fraction form
    252.87/379.68 = 206.73/x
  3. Step 3: Cross multiply
    252.87x = 379.68 × 206.73
  4. Step 4: Simplify right side
    252.87x = 78,491.25
  5. Step 5: Solve for x
    x = 78,491.25/252.87
  6. Step 6: Final answer
    x = 310.40

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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.