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Finding the Fourth Proportional to 234.62, 350.26 and 217.70

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Solution

The fourth proportional to 234.62, 350.26 and 217.70 is: 325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 350.26 = 217.70 : x
  2. Step 2: Convert to fraction form
    234.62/350.26 = 217.70/x
  3. Step 3: Cross multiply
    234.62x = 350.26 × 217.70
  4. Step 4: Simplify right side
    234.62x = 76,251.60
  5. Step 5: Solve for x
    x = 76,251.60/234.62
  6. Step 6: Final answer
    x = 325.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.