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Finding the Fourth Proportional to 278.40, 416.94 and 169.86

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Solution

The fourth proportional to 278.40, 416.94 and 169.86 is: 254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 416.94 = 169.86 : x
  2. Step 2: Convert to fraction form
    278.40/416.94 = 169.86/x
  3. Step 3: Cross multiply
    278.40x = 416.94 × 169.86
  4. Step 4: Simplify right side
    278.40x = 70,821.43
  5. Step 5: Solve for x
    x = 70,821.43/278.40
  6. Step 6: Final answer
    x = 254.39

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