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Finding the Fourth Proportional to 276.68, 414.96 and 84.24

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Solution

The fourth proportional to 276.68, 414.96 and 84.24 is: 126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 414.96 = 84.24 : x
  2. Step 2: Convert to fraction form
    276.68/414.96 = 84.24/x
  3. Step 3: Cross multiply
    276.68x = 414.96 × 84.24
  4. Step 4: Simplify right side
    276.68x = 34,956.23
  5. Step 5: Solve for x
    x = 34,956.23/276.68
  6. Step 6: Final answer
    x = 126.34

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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.