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Finding the Fourth Proportional to 299.43, 413.17 and 189.06

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Solution

The fourth proportional to 299.43, 413.17 and 189.06 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 413.17 = 189.06 : x
  2. Step 2: Convert to fraction form
    299.43/413.17 = 189.06/x
  3. Step 3: Cross multiply
    299.43x = 413.17 × 189.06
  4. Step 4: Simplify right side
    299.43x = 78,111.90
  5. Step 5: Solve for x
    x = 78,111.90/299.43
  6. Step 6: Final answer
    x = 260.87

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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.