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Finding the Fourth Proportional to 274.52, 413.24 and 193.92

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Solution

The fourth proportional to 274.52, 413.24 and 193.92 is: 291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 413.24 = 193.92 : x
  2. Step 2: Convert to fraction form
    274.52/413.24 = 193.92/x
  3. Step 3: Cross multiply
    274.52x = 413.24 × 193.92
  4. Step 4: Simplify right side
    274.52x = 80,135.50
  5. Step 5: Solve for x
    x = 80,135.50/274.52
  6. Step 6: Final answer
    x = 291.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.