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Finding the Fourth Proportional to 299.73, 413.63 and 168.73

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Solution

The fourth proportional to 299.73, 413.63 and 168.73 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.73 : 413.63 = 168.73 : x
  2. Step 2: Convert to fraction form
    299.73/413.63 = 168.73/x
  3. Step 3: Cross multiply
    299.73x = 413.63 × 168.73
  4. Step 4: Simplify right side
    299.73x = 69,791.79
  5. Step 5: Solve for x
    x = 69,791.79/299.73
  6. Step 6: Final answer
    x = 232.85

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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.