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Finding the Fourth Proportional to 299.35, 413.04 and 174.97

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Solution

The fourth proportional to 299.35, 413.04 and 174.97 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 413.04 = 174.97 : x
  2. Step 2: Convert to fraction form
    299.35/413.04 = 174.97/x
  3. Step 3: Cross multiply
    299.35x = 413.04 × 174.97
  4. Step 4: Simplify right side
    299.35x = 72,269.61
  5. Step 5: Solve for x
    x = 72,269.61/299.35
  6. Step 6: Final answer
    x = 241.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.