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Finding the Fourth Proportional to 234.57, 350.76 and 173.10

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Solution

The fourth proportional to 234.57, 350.76 and 173.10 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 350.76 = 173.10 : x
  2. Step 2: Convert to fraction form
    234.57/350.76 = 173.10/x
  3. Step 3: Cross multiply
    234.57x = 350.76 × 173.10
  4. Step 4: Simplify right side
    234.57x = 60,716.56
  5. Step 5: Solve for x
    x = 60,716.56/234.57
  6. Step 6: Final answer
    x = 258.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.