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Finding the Fourth Proportional to 234.65, 323.69 and 146.09

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Solution

The fourth proportional to 234.65, 323.69 and 146.09 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.65 : 323.69 = 146.09 : x
  2. Step 2: Convert to fraction form
    234.65/323.69 = 146.09/x
  3. Step 3: Cross multiply
    234.65x = 323.69 × 146.09
  4. Step 4: Simplify right side
    234.65x = 47,287.95
  5. Step 5: Solve for x
    x = 47,287.95/234.65
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.