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Finding the Fourth Proportional to 276.44, 414.71 and 81.44

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Solution

The fourth proportional to 276.44, 414.71 and 81.44 is: 122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 414.71 = 81.44 : x
  2. Step 2: Convert to fraction form
    276.44/414.71 = 81.44/x
  3. Step 3: Cross multiply
    276.44x = 414.71 × 81.44
  4. Step 4: Simplify right side
    276.44x = 33,775.22
  5. Step 5: Solve for x
    x = 33,775.22/276.44
  6. Step 6: Final answer
    x = 122.18

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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.