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Finding the Fourth Proportional to 234.11, 350.79 and 142.63

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Solution

The fourth proportional to 234.11, 350.79 and 142.63 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 350.79 = 142.63 : x
  2. Step 2: Convert to fraction form
    234.11/350.79 = 142.63/x
  3. Step 3: Cross multiply
    234.11x = 350.79 × 142.63
  4. Step 4: Simplify right side
    234.11x = 50,033.18
  5. Step 5: Solve for x
    x = 50,033.18/234.11
  6. Step 6: Final answer
    x = 213.72

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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.