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Finding the Fourth Proportional to 276.26, 413.78 and 167.72

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Solution

The fourth proportional to 276.26, 413.78 and 167.72 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 413.78 = 167.72 : x
  2. Step 2: Convert to fraction form
    276.26/413.78 = 167.72/x
  3. Step 3: Cross multiply
    276.26x = 413.78 × 167.72
  4. Step 4: Simplify right side
    276.26x = 69,396.27
  5. Step 5: Solve for x
    x = 69,396.27/276.26
  6. Step 6: Final answer
    x = 251.20

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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.