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Finding the Fourth Proportional to 299.38, 413.22 and 182.98

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Solution

The fourth proportional to 299.38, 413.22 and 182.98 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 413.22 = 182.98 : x
  2. Step 2: Convert to fraction form
    299.38/413.22 = 182.98/x
  3. Step 3: Cross multiply
    299.38x = 413.22 × 182.98
  4. Step 4: Simplify right side
    299.38x = 75,611.00
  5. Step 5: Solve for x
    x = 75,611.00/299.38
  6. Step 6: Final answer
    x = 252.56

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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.