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Finding the Fourth Proportional to 234.03, 350.96 and 95.17

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Solution

The fourth proportional to 234.03, 350.96 and 95.17 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.03 : 350.96 = 95.17 : x
  2. Step 2: Convert to fraction form
    234.03/350.96 = 95.17/x
  3. Step 3: Cross multiply
    234.03x = 350.96 × 95.17
  4. Step 4: Simplify right side
    234.03x = 33,400.70
  5. Step 5: Solve for x
    x = 33,400.70/234.03
  6. Step 6: Final answer
    x = 142.72

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Why These Related Problems?

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