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Finding the Fourth Proportional to 278.06, 417.24 and 196.74

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Solution

The fourth proportional to 278.06, 417.24 and 196.74 is: 295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 417.24 = 196.74 : x
  2. Step 2: Convert to fraction form
    278.06/417.24 = 196.74/x
  3. Step 3: Cross multiply
    278.06x = 417.24 × 196.74
  4. Step 4: Simplify right side
    278.06x = 82,087.80
  5. Step 5: Solve for x
    x = 82,087.80/278.06
  6. Step 6: Final answer
    x = 295.22

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