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Finding the Fourth Proportional to 276.14, 414.02 and 113.88

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Solution

The fourth proportional to 276.14, 414.02 and 113.88 is: 170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 414.02 = 113.88 : x
  2. Step 2: Convert to fraction form
    276.14/414.02 = 113.88/x
  3. Step 3: Cross multiply
    276.14x = 414.02 × 113.88
  4. Step 4: Simplify right side
    276.14x = 47,148.60
  5. Step 5: Solve for x
    x = 47,148.60/276.14
  6. Step 6: Final answer
    x = 170.74

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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.