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Finding the Fourth Proportional to 299.96, 413.34 and 194.93

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Solution

The fourth proportional to 299.96, 413.34 and 194.93 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 413.34 = 194.93 : x
  2. Step 2: Convert to fraction form
    299.96/413.34 = 194.93/x
  3. Step 3: Cross multiply
    299.96x = 413.34 × 194.93
  4. Step 4: Simplify right side
    299.96x = 80,572.37
  5. Step 5: Solve for x
    x = 80,572.37/299.96
  6. Step 6: Final answer
    x = 268.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.