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Finding the Fourth Proportional to 234.06, 351.03 and 105.78

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Solution

The fourth proportional to 234.06, 351.03 and 105.78 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 351.03 = 105.78 : x
  2. Step 2: Convert to fraction form
    234.06/351.03 = 105.78/x
  3. Step 3: Cross multiply
    234.06x = 351.03 × 105.78
  4. Step 4: Simplify right side
    234.06x = 37,131.95
  5. Step 5: Solve for x
    x = 37,131.95/234.06
  6. Step 6: Final answer
    x = 158.64

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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.