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Finding the Fourth Proportional to 231.98, 319.56 and 231.44

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Solution

The fourth proportional to 231.98, 319.56 and 231.44 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 319.56 = 231.44 : x
  2. Step 2: Convert to fraction form
    231.98/319.56 = 231.44/x
  3. Step 3: Cross multiply
    231.98x = 319.56 × 231.44
  4. Step 4: Simplify right side
    231.98x = 73,958.97
  5. Step 5: Solve for x
    x = 73,958.97/231.98
  6. Step 6: Final answer
    x = 318.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.