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Finding the Fourth Proportional to 234.37, 322.67 and 222.83

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Solution

The fourth proportional to 234.37, 322.67 and 222.83 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.37 : 322.67 = 222.83 : x
  2. Step 2: Convert to fraction form
    234.37/322.67 = 222.83/x
  3. Step 3: Cross multiply
    234.37x = 322.67 × 222.83
  4. Step 4: Simplify right side
    234.37x = 71,899.44
  5. Step 5: Solve for x
    x = 71,899.44/234.37
  6. Step 6: Final answer
    x = 306.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.