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Finding the Fourth Proportional to 299.62, 413.70 and 189.13

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Solution

The fourth proportional to 299.62, 413.70 and 189.13 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.62 : 413.70 = 189.13 : x
  2. Step 2: Convert to fraction form
    299.62/413.70 = 189.13/x
  3. Step 3: Cross multiply
    299.62x = 413.70 × 189.13
  4. Step 4: Simplify right side
    299.62x = 78,243.08
  5. Step 5: Solve for x
    x = 78,243.08/299.62
  6. Step 6: Final answer
    x = 261.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.