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Finding the Fourth Proportional to 299.72, 413.79 and 194.84

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Solution

The fourth proportional to 299.72, 413.79 and 194.84 is: 268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 413.79 = 194.84 : x
  2. Step 2: Convert to fraction form
    299.72/413.79 = 194.84/x
  3. Step 3: Cross multiply
    299.72x = 413.79 × 194.84
  4. Step 4: Simplify right side
    299.72x = 80,622.84
  5. Step 5: Solve for x
    x = 80,622.84/299.72
  6. Step 6: Final answer
    x = 268.99

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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.