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Finding the Fourth Proportional to 299.34, 413.23 and 194.57

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Solution

The fourth proportional to 299.34, 413.23 and 194.57 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 413.23 = 194.57 : x
  2. Step 2: Convert to fraction form
    299.34/413.23 = 194.57/x
  3. Step 3: Cross multiply
    299.34x = 413.23 × 194.57
  4. Step 4: Simplify right side
    299.34x = 80,399.61
  5. Step 5: Solve for x
    x = 80,399.61/299.34
  6. Step 6: Final answer
    x = 268.59

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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.