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Finding the Fourth Proportional to 276.48, 414.78 and 132.24

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Solution

The fourth proportional to 276.48, 414.78 and 132.24 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 414.78 = 132.24 : x
  2. Step 2: Convert to fraction form
    276.48/414.78 = 132.24/x
  3. Step 3: Cross multiply
    276.48x = 414.78 × 132.24
  4. Step 4: Simplify right side
    276.48x = 54,850.51
  5. Step 5: Solve for x
    x = 54,850.51/276.48
  6. Step 6: Final answer
    x = 198.39

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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.