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Finding the Fourth Proportional to 299.69, 413.64 and 189.17

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Solution

The fourth proportional to 299.69, 413.64 and 189.17 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 413.64 = 189.17 : x
  2. Step 2: Convert to fraction form
    299.69/413.64 = 189.17/x
  3. Step 3: Cross multiply
    299.69x = 413.64 × 189.17
  4. Step 4: Simplify right side
    299.69x = 78,246.21
  5. Step 5: Solve for x
    x = 78,246.21/299.69
  6. Step 6: Final answer
    x = 261.09

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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.