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Finding the Fourth Proportional to 276.43, 414.71 and 93.83

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Solution

The fourth proportional to 276.43, 414.71 and 93.83 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.43 : 414.71 = 93.83 : x
  2. Step 2: Convert to fraction form
    276.43/414.71 = 93.83/x
  3. Step 3: Cross multiply
    276.43x = 414.71 × 93.83
  4. Step 4: Simplify right side
    276.43x = 38,912.24
  5. Step 5: Solve for x
    x = 38,912.24/276.43
  6. Step 6: Final answer
    x = 140.77

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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.