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Finding the Fourth Proportional to 268.82, 402.36 and 243.56

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Solution

The fourth proportional to 268.82, 402.36 and 243.56 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 402.36 = 243.56 : x
  2. Step 2: Convert to fraction form
    268.82/402.36 = 243.56/x
  3. Step 3: Cross multiply
    268.82x = 402.36 × 243.56
  4. Step 4: Simplify right side
    268.82x = 97,996.79
  5. Step 5: Solve for x
    x = 97,996.79/268.82
  6. Step 6: Final answer
    x = 364.55

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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.