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Finding the Fourth Proportional to 299.61, 413.32 and 194.73

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Solution

The fourth proportional to 299.61, 413.32 and 194.73 is: 268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 413.32 = 194.73 : x
  2. Step 2: Convert to fraction form
    299.61/413.32 = 194.73/x
  3. Step 3: Cross multiply
    299.61x = 413.32 × 194.73
  4. Step 4: Simplify right side
    299.61x = 80,485.80
  5. Step 5: Solve for x
    x = 80,485.80/299.61
  6. Step 6: Final answer
    x = 268.64

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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.