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Finding the Fourth Proportional to 276.28, 414.48 and 178.78

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Solution

The fourth proportional to 276.28, 414.48 and 178.78 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.28 : 414.48 = 178.78 : x
  2. Step 2: Convert to fraction form
    276.28/414.48 = 178.78/x
  3. Step 3: Cross multiply
    276.28x = 414.48 × 178.78
  4. Step 4: Simplify right side
    276.28x = 74,100.73
  5. Step 5: Solve for x
    x = 74,100.73/276.28
  6. Step 6: Final answer
    x = 268.21

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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.