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Finding the Fourth Proportional to 275.75, 413.08 and 198.53

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Solution

The fourth proportional to 275.75, 413.08 and 198.53 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 413.08 = 198.53 : x
  2. Step 2: Convert to fraction form
    275.75/413.08 = 198.53/x
  3. Step 3: Cross multiply
    275.75x = 413.08 × 198.53
  4. Step 4: Simplify right side
    275.75x = 82,008.77
  5. Step 5: Solve for x
    x = 82,008.77/275.75
  6. Step 6: Final answer
    x = 297.40

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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.