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Finding the Fourth Proportional to 299.26, 413.02 and 182.80

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Solution

The fourth proportional to 299.26, 413.02 and 182.80 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 413.02 = 182.80 : x
  2. Step 2: Convert to fraction form
    299.26/413.02 = 182.80/x
  3. Step 3: Cross multiply
    299.26x = 413.02 × 182.80
  4. Step 4: Simplify right side
    299.26x = 75,500.06
  5. Step 5: Solve for x
    x = 75,500.06/299.26
  6. Step 6: Final answer
    x = 252.29

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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.