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Finding the Fourth Proportional to 299.80, 413.86 and 200.38

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Solution

The fourth proportional to 299.80, 413.86 and 200.38 is: 276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 413.86 = 200.38 : x
  2. Step 2: Convert to fraction form
    299.80/413.86 = 200.38/x
  3. Step 3: Cross multiply
    299.80x = 413.86 × 200.38
  4. Step 4: Simplify right side
    299.80x = 82,929.27
  5. Step 5: Solve for x
    x = 82,929.27/299.80
  6. Step 6: Final answer
    x = 276.62

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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.