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Finding the Fourth Proportional to 299.86, 413.95 and 200.44

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Solution

The fourth proportional to 299.86, 413.95 and 200.44 is: 276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 413.95 = 200.44 : x
  2. Step 2: Convert to fraction form
    299.86/413.95 = 200.44/x
  3. Step 3: Cross multiply
    299.86x = 413.95 × 200.44
  4. Step 4: Simplify right side
    299.86x = 82,972.14
  5. Step 5: Solve for x
    x = 82,972.14/299.86
  6. Step 6: Final answer
    x = 276.70

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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.