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Finding the Fourth Proportional to 275.78, 413.24 and 113.36

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Solution

The fourth proportional to 275.78, 413.24 and 113.36 is: 169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 413.24 = 113.36 : x
  2. Step 2: Convert to fraction form
    275.78/413.24 = 113.36/x
  3. Step 3: Cross multiply
    275.78x = 413.24 × 113.36
  4. Step 4: Simplify right side
    275.78x = 46,844.89
  5. Step 5: Solve for x
    x = 46,844.89/275.78
  6. Step 6: Final answer
    x = 169.86

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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.