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Finding the Fourth Proportional to 268.44, 402.69 and 114.27

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Solution

The fourth proportional to 268.44, 402.69 and 114.27 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 402.69 = 114.27 : x
  2. Step 2: Convert to fraction form
    268.44/402.69 = 114.27/x
  3. Step 3: Cross multiply
    268.44x = 402.69 × 114.27
  4. Step 4: Simplify right side
    268.44x = 46,015.39
  5. Step 5: Solve for x
    x = 46,015.39/268.44
  6. Step 6: Final answer
    x = 171.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.