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Finding the Fourth Proportional to 231.97, 347.31 and 185.48

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Solution

The fourth proportional to 231.97, 347.31 and 185.48 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 347.31 = 185.48 : x
  2. Step 2: Convert to fraction form
    231.97/347.31 = 185.48/x
  3. Step 3: Cross multiply
    231.97x = 347.31 × 185.48
  4. Step 4: Simplify right side
    231.97x = 64,419.06
  5. Step 5: Solve for x
    x = 64,419.06/231.97
  6. Step 6: Final answer
    x = 277.70

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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.