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Finding the Fourth Proportional to 231.35, 347.15 and 180.09

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Solution

The fourth proportional to 231.35, 347.15 and 180.09 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.35 : 347.15 = 180.09 : x
  2. Step 2: Convert to fraction form
    231.35/347.15 = 180.09/x
  3. Step 3: Cross multiply
    231.35x = 347.15 × 180.09
  4. Step 4: Simplify right side
    231.35x = 62,517.34
  5. Step 5: Solve for x
    x = 62,517.34/231.35
  6. Step 6: Final answer
    x = 270.23

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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.