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Finding the Fourth Proportional to 231.34, 347.19 and 159.34

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Solution

The fourth proportional to 231.34, 347.19 and 159.34 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.34 : 347.19 = 159.34 : x
  2. Step 2: Convert to fraction form
    231.34/347.19 = 159.34/x
  3. Step 3: Cross multiply
    231.34x = 347.19 × 159.34
  4. Step 4: Simplify right side
    231.34x = 55,321.25
  5. Step 5: Solve for x
    x = 55,321.25/231.34
  6. Step 6: Final answer
    x = 239.13

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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.