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Finding the Fourth Proportional to 276.38, 414.57 and 93.83

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Solution

The fourth proportional to 276.38, 414.57 and 93.83 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 414.57 = 93.83 : x
  2. Step 2: Convert to fraction form
    276.38/414.57 = 93.83/x
  3. Step 3: Cross multiply
    276.38x = 414.57 × 93.83
  4. Step 4: Simplify right side
    276.38x = 38,896.85
  5. Step 5: Solve for x
    x = 38,896.85/276.38
  6. Step 6: Final answer
    x = 140.74

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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.