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Finding the Fourth Proportional to 275.88, 413.74 and 198.61

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Solution

The fourth proportional to 275.88, 413.74 and 198.61 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.88 : 413.74 = 198.61 : x
  2. Step 2: Convert to fraction form
    275.88/413.74 = 198.61/x
  3. Step 3: Cross multiply
    275.88x = 413.74 × 198.61
  4. Step 4: Simplify right side
    275.88x = 82,174.43
  5. Step 5: Solve for x
    x = 82,174.43/275.88
  6. Step 6: Final answer
    x = 297.86

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