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Finding the Fourth Proportional to 299.78, 413.90 and 194.93

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Solution

The fourth proportional to 299.78, 413.90 and 194.93 is: 269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.90 = 194.93 : x
  2. Step 2: Convert to fraction form
    299.78/413.90 = 194.93/x
  3. Step 3: Cross multiply
    299.78x = 413.90 × 194.93
  4. Step 4: Simplify right side
    299.78x = 80,679.94
  5. Step 5: Solve for x
    x = 80,679.94/299.78
  6. Step 6: Final answer
    x = 269.14

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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.