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Finding the Fourth Proportional to 268.74, 402.85 and 165.71

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Solution

The fourth proportional to 268.74, 402.85 and 165.71 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 402.85 = 165.71 : x
  2. Step 2: Convert to fraction form
    268.74/402.85 = 165.71/x
  3. Step 3: Cross multiply
    268.74x = 402.85 × 165.71
  4. Step 4: Simplify right side
    268.74x = 66,756.27
  5. Step 5: Solve for x
    x = 66,756.27/268.74
  6. Step 6: Final answer
    x = 248.40

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