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Finding the Fourth Proportional to 278.62, 384.24 and 178.92

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Solution

The fourth proportional to 278.62, 384.24 and 178.92 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 384.24 = 178.92 : x
  2. Step 2: Convert to fraction form
    278.62/384.24 = 178.92/x
  3. Step 3: Cross multiply
    278.62x = 384.24 × 178.92
  4. Step 4: Simplify right side
    278.62x = 68,745.41
  5. Step 5: Solve for x
    x = 68,745.41/278.62
  6. Step 6: Final answer
    x = 246.74

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