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Finding the Fourth Proportional to 234.25, 350.91 and 182.62

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Solution

The fourth proportional to 234.25, 350.91 and 182.62 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 350.91 = 182.62 : x
  2. Step 2: Convert to fraction form
    234.25/350.91 = 182.62/x
  3. Step 3: Cross multiply
    234.25x = 350.91 × 182.62
  4. Step 4: Simplify right side
    234.25x = 64,083.18
  5. Step 5: Solve for x
    x = 64,083.18/234.25
  6. Step 6: Final answer
    x = 273.57

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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.