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Finding the Fourth Proportional to 268.12, 402.16 and 75.74

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Solution

The fourth proportional to 268.12, 402.16 and 75.74 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.12 : 402.16 = 75.74 : x
  2. Step 2: Convert to fraction form
    268.12/402.16 = 75.74/x
  3. Step 3: Cross multiply
    268.12x = 402.16 × 75.74
  4. Step 4: Simplify right side
    268.12x = 30,459.60
  5. Step 5: Solve for x
    x = 30,459.60/268.12
  6. Step 6: Final answer
    x = 113.60

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