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Finding the Fourth Proportional to 299.97, 413.91 and 189.60

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Solution

The fourth proportional to 299.97, 413.91 and 189.60 is: 261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.97 : 413.91 = 189.60 : x
  2. Step 2: Convert to fraction form
    299.97/413.91 = 189.60/x
  3. Step 3: Cross multiply
    299.97x = 413.91 × 189.60
  4. Step 4: Simplify right side
    299.97x = 78,477.34
  5. Step 5: Solve for x
    x = 78,477.34/299.97
  6. Step 6: Final answer
    x = 261.62

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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.