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Finding the Fourth Proportional to 299.88, 413.67 and 189.31

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Solution

The fourth proportional to 299.88, 413.67 and 189.31 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 413.67 = 189.31 : x
  2. Step 2: Convert to fraction form
    299.88/413.67 = 189.31/x
  3. Step 3: Cross multiply
    299.88x = 413.67 × 189.31
  4. Step 4: Simplify right side
    299.88x = 78,311.87
  5. Step 5: Solve for x
    x = 78,311.87/299.88
  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.