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Finding the Fourth Proportional to 231.98, 320.15 and 143.44

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Solution

The fourth proportional to 231.98, 320.15 and 143.44 is: 197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 320.15 = 143.44 : x
  2. Step 2: Convert to fraction form
    231.98/320.15 = 143.44/x
  3. Step 3: Cross multiply
    231.98x = 320.15 × 143.44
  4. Step 4: Simplify right side
    231.98x = 45,921.87
  5. Step 5: Solve for x
    x = 45,921.87/231.98
  6. Step 6: Final answer
    x = 197.96

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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.