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Finding the Fourth Proportional to 234.49, 323.15 and 165.37

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Solution

The fourth proportional to 234.49, 323.15 and 165.37 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.49 : 323.15 = 165.37 : x
  2. Step 2: Convert to fraction form
    234.49/323.15 = 165.37/x
  3. Step 3: Cross multiply
    234.49x = 323.15 × 165.37
  4. Step 4: Simplify right side
    234.49x = 53,438.49
  5. Step 5: Solve for x
    x = 53,438.49/234.49
  6. Step 6: Final answer
    x = 227.89

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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.