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Finding the Fourth Proportional to 234.34, 322.02 and 195.46

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Solution

The fourth proportional to 234.34, 322.02 and 195.46 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 322.02 = 195.46 : x
  2. Step 2: Convert to fraction form
    234.34/322.02 = 195.46/x
  3. Step 3: Cross multiply
    234.34x = 322.02 × 195.46
  4. Step 4: Simplify right side
    234.34x = 62,942.03
  5. Step 5: Solve for x
    x = 62,942.03/234.34
  6. Step 6: Final answer
    x = 268.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.