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Finding the Fourth Proportional to 276.26, 414.20 and 179.88

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Solution

The fourth proportional to 276.26, 414.20 and 179.88 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 414.20 = 179.88 : x
  2. Step 2: Convert to fraction form
    276.26/414.20 = 179.88/x
  3. Step 3: Cross multiply
    276.26x = 414.20 × 179.88
  4. Step 4: Simplify right side
    276.26x = 74,506.30
  5. Step 5: Solve for x
    x = 74,506.30/276.26
  6. Step 6: Final answer
    x = 269.70

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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.