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Finding the Fourth Proportional to 268.24, 402.09 and 138.30

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Solution

The fourth proportional to 268.24, 402.09 and 138.30 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.24 : 402.09 = 138.30 : x
  2. Step 2: Convert to fraction form
    268.24/402.09 = 138.30/x
  3. Step 3: Cross multiply
    268.24x = 402.09 × 138.30
  4. Step 4: Simplify right side
    268.24x = 55,609.05
  5. Step 5: Solve for x
    x = 55,609.05/268.24
  6. Step 6: Final answer
    x = 207.31

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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.