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Finding the Fourth Proportional to 275.48, 413.36 and 165.82

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Solution

The fourth proportional to 275.48, 413.36 and 165.82 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 413.36 = 165.82 : x
  2. Step 2: Convert to fraction form
    275.48/413.36 = 165.82/x
  3. Step 3: Cross multiply
    275.48x = 413.36 × 165.82
  4. Step 4: Simplify right side
    275.48x = 68,543.36
  5. Step 5: Solve for x
    x = 68,543.36/275.48
  6. Step 6: Final answer
    x = 248.82

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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.