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Finding the Fourth Proportional to 234.67, 352.01 and 142.14

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Solution

The fourth proportional to 234.67, 352.01 and 142.14 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.67 : 352.01 = 142.14 : x
  2. Step 2: Convert to fraction form
    234.67/352.01 = 142.14/x
  3. Step 3: Cross multiply
    234.67x = 352.01 × 142.14
  4. Step 4: Simplify right side
    234.67x = 50,035.31
  5. Step 5: Solve for x
    x = 50,035.31/234.67
  6. Step 6: Final answer
    x = 213.22

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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.