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Finding the Fourth Proportional to 234.20, 350.84 and 136.46

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Solution

The fourth proportional to 234.20, 350.84 and 136.46 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 350.84 = 136.46 : x
  2. Step 2: Convert to fraction form
    234.20/350.84 = 136.46/x
  3. Step 3: Cross multiply
    234.20x = 350.84 × 136.46
  4. Step 4: Simplify right side
    234.20x = 47,876.84
  5. Step 5: Solve for x
    x = 47,876.84/234.20
  6. Step 6: Final answer
    x = 204.42

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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.