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Finding the Fourth Proportional to 275.70, 413.64 and 166.14

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Solution

The fourth proportional to 275.70, 413.64 and 166.14 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.64 = 166.14 : x
  2. Step 2: Convert to fraction form
    275.70/413.64 = 166.14/x
  3. Step 3: Cross multiply
    275.70x = 413.64 × 166.14
  4. Step 4: Simplify right side
    275.70x = 68,722.15
  5. Step 5: Solve for x
    x = 68,722.15/275.70
  6. Step 6: Final answer
    x = 249.26

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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.