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Finding the Fourth Proportional to 299.50, 413.14 and 199.80

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Solution

The fourth proportional to 299.50, 413.14 and 199.80 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 413.14 = 199.80 : x
  2. Step 2: Convert to fraction form
    299.50/413.14 = 199.80/x
  3. Step 3: Cross multiply
    299.50x = 413.14 × 199.80
  4. Step 4: Simplify right side
    299.50x = 82,545.37
  5. Step 5: Solve for x
    x = 82,545.37/299.50
  6. Step 6: Final answer
    x = 275.61

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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.