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Finding the Fourth Proportional to 275.95, 413.92 and 198.55

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Solution

The fourth proportional to 275.95, 413.92 and 198.55 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 413.92 = 198.55 : x
  2. Step 2: Convert to fraction form
    275.95/413.92 = 198.55/x
  3. Step 3: Cross multiply
    275.95x = 413.92 × 198.55
  4. Step 4: Simplify right side
    275.95x = 82,183.03
  5. Step 5: Solve for x
    x = 82,183.03/275.95
  6. Step 6: Final answer
    x = 297.82

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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.