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Finding the Fourth Proportional to 276.29, 414.28 and 178.78

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Solution

The fourth proportional to 276.29, 414.28 and 178.78 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.29 : 414.28 = 178.78 : x
  2. Step 2: Convert to fraction form
    276.29/414.28 = 178.78/x
  3. Step 3: Cross multiply
    276.29x = 414.28 × 178.78
  4. Step 4: Simplify right side
    276.29x = 74,064.98
  5. Step 5: Solve for x
    x = 74,064.98/276.29
  6. Step 6: Final answer
    x = 268.07

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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.