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Finding the Fourth Proportional to 299.40, 413.20 and 168.42

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Solution

The fourth proportional to 299.40, 413.20 and 168.42 is: 232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 413.20 = 168.42 : x
  2. Step 2: Convert to fraction form
    299.40/413.20 = 168.42/x
  3. Step 3: Cross multiply
    299.40x = 413.20 × 168.42
  4. Step 4: Simplify right side
    299.40x = 69,591.14
  5. Step 5: Solve for x
    x = 69,591.14/299.40
  6. Step 6: Final answer
    x = 232.44

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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.