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Finding the Fourth Proportional to 234.46, 351.70 and 162.78

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Solution

The fourth proportional to 234.46, 351.70 and 162.78 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 351.70 = 162.78 : x
  2. Step 2: Convert to fraction form
    234.46/351.70 = 162.78/x
  3. Step 3: Cross multiply
    234.46x = 351.70 × 162.78
  4. Step 4: Simplify right side
    234.46x = 57,249.73
  5. Step 5: Solve for x
    x = 57,249.73/234.46
  6. Step 6: Final answer
    x = 244.18

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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.