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Finding the Fourth Proportional to 275.70, 413.34 and 131.38

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Solution

The fourth proportional to 275.70, 413.34 and 131.38 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.34 = 131.38 : x
  2. Step 2: Convert to fraction form
    275.70/413.34 = 131.38/x
  3. Step 3: Cross multiply
    275.70x = 413.34 × 131.38
  4. Step 4: Simplify right side
    275.70x = 54,304.61
  5. Step 5: Solve for x
    x = 54,304.61/275.70
  6. Step 6: Final answer
    x = 196.97

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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.