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Finding the Fourth Proportional to 276.24, 414.24 and 83.82

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Solution

The fourth proportional to 276.24, 414.24 and 83.82 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 414.24 = 83.82 : x
  2. Step 2: Convert to fraction form
    276.24/414.24 = 83.82/x
  3. Step 3: Cross multiply
    276.24x = 414.24 × 83.82
  4. Step 4: Simplify right side
    276.24x = 34,721.60
  5. Step 5: Solve for x
    x = 34,721.60/276.24
  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.