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Finding the Fourth Proportional to 234.38, 351.27 and 110.94

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Solution

The fourth proportional to 234.38, 351.27 and 110.94 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 351.27 = 110.94 : x
  2. Step 2: Convert to fraction form
    234.38/351.27 = 110.94/x
  3. Step 3: Cross multiply
    234.38x = 351.27 × 110.94
  4. Step 4: Simplify right side
    234.38x = 38,969.34
  5. Step 5: Solve for x
    x = 38,969.34/234.38
  6. Step 6: Final answer
    x = 166.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.