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Finding the Fourth Proportional to 234.80, 322.30 and 213.95

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Solution

The fourth proportional to 234.80, 322.30 and 213.95 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 322.30 = 213.95 : x
  2. Step 2: Convert to fraction form
    234.80/322.30 = 213.95/x
  3. Step 3: Cross multiply
    234.80x = 322.30 × 213.95
  4. Step 4: Simplify right side
    234.80x = 68,956.09
  5. Step 5: Solve for x
    x = 68,956.09/234.80
  6. Step 6: Final answer
    x = 293.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.