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Finding the Fourth Proportional to 275.92, 413.90 and 168.40

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Solution

The fourth proportional to 275.92, 413.90 and 168.40 is: 252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 413.90 = 168.40 : x
  2. Step 2: Convert to fraction form
    275.92/413.90 = 168.40/x
  3. Step 3: Cross multiply
    275.92x = 413.90 × 168.40
  4. Step 4: Simplify right side
    275.92x = 69,700.76
  5. Step 5: Solve for x
    x = 69,700.76/275.92
  6. Step 6: Final answer
    x = 252.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.