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Finding the Fourth Proportional to 299.51, 413.50 and 194.75

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Solution

The fourth proportional to 299.51, 413.50 and 194.75 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 413.50 = 194.75 : x
  2. Step 2: Convert to fraction form
    299.51/413.50 = 194.75/x
  3. Step 3: Cross multiply
    299.51x = 413.50 × 194.75
  4. Step 4: Simplify right side
    299.51x = 80,529.13
  5. Step 5: Solve for x
    x = 80,529.13/299.51
  6. Step 6: Final answer
    x = 268.87

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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.