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Finding the Fourth Proportional to 276.14, 414.27 and 83.78

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Solution

The fourth proportional to 276.14, 414.27 and 83.78 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 414.27 = 83.78 : x
  2. Step 2: Convert to fraction form
    276.14/414.27 = 83.78/x
  3. Step 3: Cross multiply
    276.14x = 414.27 × 83.78
  4. Step 4: Simplify right side
    276.14x = 34,707.54
  5. Step 5: Solve for x
    x = 34,707.54/276.14
  6. Step 6: Final answer
    x = 125.69

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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.