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Finding the Fourth Proportional to 299.25, 413.10 and 199.83

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Solution

The fourth proportional to 299.25, 413.10 and 199.83 is: 275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 413.10 = 199.83 : x
  2. Step 2: Convert to fraction form
    299.25/413.10 = 199.83/x
  3. Step 3: Cross multiply
    299.25x = 413.10 × 199.83
  4. Step 4: Simplify right side
    299.25x = 82,548.24
  5. Step 5: Solve for x
    x = 82,548.24/299.25
  6. Step 6: Final answer
    x = 275.86

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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.