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Finding the Fourth Proportional to 275.44, 413.24 and 167.92

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Solution

The fourth proportional to 275.44, 413.24 and 167.92 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 413.24 = 167.92 : x
  2. Step 2: Convert to fraction form
    275.44/413.24 = 167.92/x
  3. Step 3: Cross multiply
    275.44x = 413.24 × 167.92
  4. Step 4: Simplify right side
    275.44x = 69,391.26
  5. Step 5: Solve for x
    x = 69,391.26/275.44
  6. Step 6: Final answer
    x = 251.93

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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.