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Finding the Fourth Proportional to 299.70, 413.62 and 168.72

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Solution

The fourth proportional to 299.70, 413.62 and 168.72 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 413.62 = 168.72 : x
  2. Step 2: Convert to fraction form
    299.70/413.62 = 168.72/x
  3. Step 3: Cross multiply
    299.70x = 413.62 × 168.72
  4. Step 4: Simplify right side
    299.70x = 69,785.97
  5. Step 5: Solve for x
    x = 69,785.97/299.70
  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.