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Finding the Fourth Proportional to 234.54, 352.22 and 223.20

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Solution

The fourth proportional to 234.54, 352.22 and 223.20 is: 335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 352.22 = 223.20 : x
  2. Step 2: Convert to fraction form
    234.54/352.22 = 223.20/x
  3. Step 3: Cross multiply
    234.54x = 352.22 × 223.20
  4. Step 4: Simplify right side
    234.54x = 78,614.39
  5. Step 5: Solve for x
    x = 78,614.39/234.54
  6. Step 6: Final answer
    x = 335.19

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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.