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Finding the Fourth Proportional to 276.48, 414.32 and 166.81

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Solution

The fourth proportional to 276.48, 414.32 and 166.81 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 414.32 = 166.81 : x
  2. Step 2: Convert to fraction form
    276.48/414.32 = 166.81/x
  3. Step 3: Cross multiply
    276.48x = 414.32 × 166.81
  4. Step 4: Simplify right side
    276.48x = 69,112.72
  5. Step 5: Solve for x
    x = 69,112.72/276.48
  6. Step 6: Final answer
    x = 249.97

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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.