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Finding the Fourth Proportional to 299.76, 413.32 and 194.84

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Solution

The fourth proportional to 299.76, 413.32 and 194.84 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 413.32 = 194.84 : x
  2. Step 2: Convert to fraction form
    299.76/413.32 = 194.84/x
  3. Step 3: Cross multiply
    299.76x = 413.32 × 194.84
  4. Step 4: Simplify right side
    299.76x = 80,531.27
  5. Step 5: Solve for x
    x = 80,531.27/299.76
  6. Step 6: Final answer
    x = 268.65

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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.