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Finding the Fourth Proportional to 299.23, 413.12 and 206.14

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Solution

The fourth proportional to 299.23, 413.12 and 206.14 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 413.12 = 206.14 : x
  2. Step 2: Convert to fraction form
    299.23/413.12 = 206.14/x
  3. Step 3: Cross multiply
    299.23x = 413.12 × 206.14
  4. Step 4: Simplify right side
    299.23x = 85,160.56
  5. Step 5: Solve for x
    x = 85,160.56/299.23
  6. Step 6: Final answer
    x = 284.60

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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.