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Finding the Fourth Proportional to 234.08, 350.91 and 97.23

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Solution

The fourth proportional to 234.08, 350.91 and 97.23 is: 145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.08 : 350.91 = 97.23 : x
  2. Step 2: Convert to fraction form
    234.08/350.91 = 97.23/x
  3. Step 3: Cross multiply
    234.08x = 350.91 × 97.23
  4. Step 4: Simplify right side
    234.08x = 34,118.98
  5. Step 5: Solve for x
    x = 34,118.98/234.08
  6. Step 6: Final answer
    x = 145.76

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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.