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Finding the Fourth Proportional to 268.34, 402.96 and 165.62

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Solution

The fourth proportional to 268.34, 402.96 and 165.62 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 402.96 = 165.62 : x
  2. Step 2: Convert to fraction form
    268.34/402.96 = 165.62/x
  3. Step 3: Cross multiply
    268.34x = 402.96 × 165.62
  4. Step 4: Simplify right side
    268.34x = 66,738.24
  5. Step 5: Solve for x
    x = 66,738.24/268.34
  6. Step 6: Final answer
    x = 248.71

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