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Finding the Fourth Proportional to 299.38, 413.16 and 206.03

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Solution

The fourth proportional to 299.38, 413.16 and 206.03 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 413.16 = 206.03 : x
  2. Step 2: Convert to fraction form
    299.38/413.16 = 206.03/x
  3. Step 3: Cross multiply
    299.38x = 413.16 × 206.03
  4. Step 4: Simplify right side
    299.38x = 85,123.35
  5. Step 5: Solve for x
    x = 85,123.35/299.38
  6. Step 6: Final answer
    x = 284.33

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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.