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Finding the Fourth Proportional to 276.31, 413.91 and 166.56

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Solution

The fourth proportional to 276.31, 413.91 and 166.56 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.31 : 413.91 = 166.56 : x
  2. Step 2: Convert to fraction form
    276.31/413.91 = 166.56/x
  3. Step 3: Cross multiply
    276.31x = 413.91 × 166.56
  4. Step 4: Simplify right side
    276.31x = 68,940.43
  5. Step 5: Solve for x
    x = 68,940.43/276.31
  6. Step 6: Final answer
    x = 249.51

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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.