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Finding the Fourth Proportional to 234.89, 352.33 and 113.09

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Solution

The fourth proportional to 234.89, 352.33 and 113.09 is: 169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.89 : 352.33 = 113.09 : x
  2. Step 2: Convert to fraction form
    234.89/352.33 = 113.09/x
  3. Step 3: Cross multiply
    234.89x = 352.33 × 113.09
  4. Step 4: Simplify right side
    234.89x = 39,842.96
  5. Step 5: Solve for x
    x = 39,842.96/234.89
  6. Step 6: Final answer
    x = 169.63

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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.