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Finding the Fourth Proportional to 299.56, 413.41 and 166.79

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Solution

The fourth proportional to 299.56, 413.41 and 166.79 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 413.41 = 166.79 : x
  2. Step 2: Convert to fraction form
    299.56/413.41 = 166.79/x
  3. Step 3: Cross multiply
    299.56x = 413.41 × 166.79
  4. Step 4: Simplify right side
    299.56x = 68,952.65
  5. Step 5: Solve for x
    x = 68,952.65/299.56
  6. Step 6: Final answer
    x = 230.18

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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.