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Finding the Fourth Proportional to 234.36, 350.84 and 224.33

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Solution

The fourth proportional to 234.36, 350.84 and 224.33 is: 335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.36 : 350.84 = 224.33 : x
  2. Step 2: Convert to fraction form
    234.36/350.84 = 224.33/x
  3. Step 3: Cross multiply
    234.36x = 350.84 × 224.33
  4. Step 4: Simplify right side
    234.36x = 78,702.82
  5. Step 5: Solve for x
    x = 78,702.82/234.36
  6. Step 6: Final answer
    x = 335.83

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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.