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Finding the Fourth Proportional to 300.12, 413.97 and 196.62

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Solution

The fourth proportional to 300.12, 413.97 and 196.62 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 413.97 = 196.62 : x
  2. Step 2: Convert to fraction form
    300.12/413.97 = 196.62/x
  3. Step 3: Cross multiply
    300.12x = 413.97 × 196.62
  4. Step 4: Simplify right side
    300.12x = 81,394.78
  5. Step 5: Solve for x
    x = 81,394.78/300.12
  6. Step 6: Final answer
    x = 271.21

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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.