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Finding the Fourth Proportional to 234.82, 353.82 and 195.14

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Solution

The fourth proportional to 234.82, 353.82 and 195.14 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.82 : 353.82 = 195.14 : x
  2. Step 2: Convert to fraction form
    234.82/353.82 = 195.14/x
  3. Step 3: Cross multiply
    234.82x = 353.82 × 195.14
  4. Step 4: Simplify right side
    234.82x = 69,044.43
  5. Step 5: Solve for x
    x = 69,044.43/234.82
  6. Step 6: Final answer
    x = 294.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.