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Finding the Fourth Proportional to 299.50, 413.49 and 196.18

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Solution

The fourth proportional to 299.50, 413.49 and 196.18 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 413.49 = 196.18 : x
  2. Step 2: Convert to fraction form
    299.50/413.49 = 196.18/x
  3. Step 3: Cross multiply
    299.50x = 413.49 × 196.18
  4. Step 4: Simplify right side
    299.50x = 81,118.47
  5. Step 5: Solve for x
    x = 81,118.47/299.50
  6. Step 6: Final answer
    x = 270.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.