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Finding the Fourth Proportional to 276.52, 414.75 and 168.25

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Solution

The fourth proportional to 276.52, 414.75 and 168.25 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 414.75 = 168.25 : x
  2. Step 2: Convert to fraction form
    276.52/414.75 = 168.25/x
  3. Step 3: Cross multiply
    276.52x = 414.75 × 168.25
  4. Step 4: Simplify right side
    276.52x = 69,781.69
  5. Step 5: Solve for x
    x = 69,781.69/276.52
  6. Step 6: Final answer
    x = 252.36

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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.