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Finding the Fourth Proportional to 299.83, 413.64 and 194.96

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Solution

The fourth proportional to 299.83, 413.64 and 194.96 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.83 : 413.64 = 194.96 : x
  2. Step 2: Convert to fraction form
    299.83/413.64 = 194.96/x
  3. Step 3: Cross multiply
    299.83x = 413.64 × 194.96
  4. Step 4: Simplify right side
    299.83x = 80,641.19
  5. Step 5: Solve for x
    x = 80,641.19/299.83
  6. Step 6: Final answer
    x = 268.96

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