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Finding the Fourth Proportional to 299.67, 413.22 and 206.55

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Solution

The fourth proportional to 299.67, 413.22 and 206.55 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 413.22 = 206.55 : x
  2. Step 2: Convert to fraction form
    299.67/413.22 = 206.55/x
  3. Step 3: Cross multiply
    299.67x = 413.22 × 206.55
  4. Step 4: Simplify right side
    299.67x = 85,350.59
  5. Step 5: Solve for x
    x = 85,350.59/299.67
  6. Step 6: Final answer
    x = 284.82

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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.