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Finding the Fourth Proportional to 299.42, 413.16 and 168.42

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Solution

The fourth proportional to 299.42, 413.16 and 168.42 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 413.16 = 168.42 : x
  2. Step 2: Convert to fraction form
    299.42/413.16 = 168.42/x
  3. Step 3: Cross multiply
    299.42x = 413.16 × 168.42
  4. Step 4: Simplify right side
    299.42x = 69,584.41
  5. Step 5: Solve for x
    x = 69,584.41/299.42
  6. Step 6: Final answer
    x = 232.40

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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.