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Finding the Fourth Proportional to 276.26, 413.76 and 160.42

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Solution

The fourth proportional to 276.26, 413.76 and 160.42 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 413.76 = 160.42 : x
  2. Step 2: Convert to fraction form
    276.26/413.76 = 160.42/x
  3. Step 3: Cross multiply
    276.26x = 413.76 × 160.42
  4. Step 4: Simplify right side
    276.26x = 66,375.38
  5. Step 5: Solve for x
    x = 66,375.38/276.26
  6. Step 6: Final answer
    x = 240.26

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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.