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Finding the Fourth Proportional to 234.27, 351.13 and 105.75

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Solution

The fourth proportional to 234.27, 351.13 and 105.75 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 351.13 = 105.75 : x
  2. Step 2: Convert to fraction form
    234.27/351.13 = 105.75/x
  3. Step 3: Cross multiply
    234.27x = 351.13 × 105.75
  4. Step 4: Simplify right side
    234.27x = 37,132.00
  5. Step 5: Solve for x
    x = 37,132.00/234.27
  6. Step 6: Final answer
    x = 158.50

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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.