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Finding the Fourth Proportional to 275.68, 413.05 and 198.53

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Solution

The fourth proportional to 275.68, 413.05 and 198.53 is: 297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 413.05 = 198.53 : x
  2. Step 2: Convert to fraction form
    275.68/413.05 = 198.53/x
  3. Step 3: Cross multiply
    275.68x = 413.05 × 198.53
  4. Step 4: Simplify right side
    275.68x = 82,002.82
  5. Step 5: Solve for x
    x = 82,002.82/275.68
  6. Step 6: Final answer
    x = 297.46

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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.