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Finding the Fourth Proportional to 299.66, 413.50 and 168.66

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Solution

The fourth proportional to 299.66, 413.50 and 168.66 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 413.50 = 168.66 : x
  2. Step 2: Convert to fraction form
    299.66/413.50 = 168.66/x
  3. Step 3: Cross multiply
    299.66x = 413.50 × 168.66
  4. Step 4: Simplify right side
    299.66x = 69,740.91
  5. Step 5: Solve for x
    x = 69,740.91/299.66
  6. Step 6: Final answer
    x = 232.73

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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.