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Finding the Fourth Proportional to 299.53, 413.45 and 206.24

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Solution

The fourth proportional to 299.53, 413.45 and 206.24 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 413.45 = 206.24 : x
  2. Step 2: Convert to fraction form
    299.53/413.45 = 206.24/x
  3. Step 3: Cross multiply
    299.53x = 413.45 × 206.24
  4. Step 4: Simplify right side
    299.53x = 85,269.93
  5. Step 5: Solve for x
    x = 85,269.93/299.53
  6. Step 6: Final answer
    x = 284.68

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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.