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Finding the Fourth Proportional to 276.27, 414.76 and 172.31

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Solution

The fourth proportional to 276.27, 414.76 and 172.31 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.27 : 414.76 = 172.31 : x
  2. Step 2: Convert to fraction form
    276.27/414.76 = 172.31/x
  3. Step 3: Cross multiply
    276.27x = 414.76 × 172.31
  4. Step 4: Simplify right side
    276.27x = 71,467.90
  5. Step 5: Solve for x
    x = 71,467.90/276.27
  6. Step 6: Final answer
    x = 258.69

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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.