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Finding the Fourth Proportional to 299.54, 413.16 and 194.78

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Solution

The fourth proportional to 299.54, 413.16 and 194.78 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 413.16 = 194.78 : x
  2. Step 2: Convert to fraction form
    299.54/413.16 = 194.78/x
  3. Step 3: Cross multiply
    299.54x = 413.16 × 194.78
  4. Step 4: Simplify right side
    299.54x = 80,475.30
  5. Step 5: Solve for x
    x = 80,475.30/299.54
  6. Step 6: Final answer
    x = 268.66

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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.