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Finding the Fourth Proportional to 178.64, 268 and 82.44

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Solution

The fourth proportional to 178.64, 268 and 82.44 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 268 = 82.44 : x
  2. Step 2: Convert to fraction form
    178.64/268 = 82.44/x
  3. Step 3: Cross multiply
    178.64x = 268 × 82.44
  4. Step 4: Simplify right side
    178.64x = 22,093.92
  5. Step 5: Solve for x
    x = 22,093.92/178.64
  6. Step 6: Final answer
    x = 123.68

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