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Finding the Fourth Proportional to 234.52, 350.06 and 217.60

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Solution

The fourth proportional to 234.52, 350.06 and 217.60 is: 324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 350.06 = 217.60 : x
  2. Step 2: Convert to fraction form
    234.52/350.06 = 217.60/x
  3. Step 3: Cross multiply
    234.52x = 350.06 × 217.60
  4. Step 4: Simplify right side
    234.52x = 76,173.06
  5. Step 5: Solve for x
    x = 76,173.06/234.52
  6. Step 6: Final answer
    x = 324.80

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