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Finding the Fourth Proportional to 234.65, 353.09 and 193.82

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Solution

The fourth proportional to 234.65, 353.09 and 193.82 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.65 : 353.09 = 193.82 : x
  2. Step 2: Convert to fraction form
    234.65/353.09 = 193.82/x
  3. Step 3: Cross multiply
    234.65x = 353.09 × 193.82
  4. Step 4: Simplify right side
    234.65x = 68,434.62
  5. Step 5: Solve for x
    x = 68,434.62/234.65
  6. Step 6: Final answer
    x = 291.64

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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.