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Finding the Fourth Proportional to 268.22, 401.90 and 165.20

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Solution

The fourth proportional to 268.22, 401.90 and 165.20 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 401.90 = 165.20 : x
  2. Step 2: Convert to fraction form
    268.22/401.90 = 165.20/x
  3. Step 3: Cross multiply
    268.22x = 401.90 × 165.20
  4. Step 4: Simplify right side
    268.22x = 66,393.88
  5. Step 5: Solve for x
    x = 66,393.88/268.22
  6. Step 6: Final answer
    x = 247.54

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