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Finding the Fourth Proportional to 299.75, 413.60 and 206.69

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Solution

The fourth proportional to 299.75, 413.60 and 206.69 is: 285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 413.60 = 206.69 : x
  2. Step 2: Convert to fraction form
    299.75/413.60 = 206.69/x
  3. Step 3: Cross multiply
    299.75x = 413.60 × 206.69
  4. Step 4: Simplify right side
    299.75x = 85,483.88
  5. Step 5: Solve for x
    x = 85,483.88/299.75
  6. Step 6: Final answer
    x = 285.19

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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.