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Finding the Fourth Proportional to 234.46, 322.99 and 164.38

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Solution

The fourth proportional to 234.46, 322.99 and 164.38 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 322.99 = 164.38 : x
  2. Step 2: Convert to fraction form
    234.46/322.99 = 164.38/x
  3. Step 3: Cross multiply
    234.46x = 322.99 × 164.38
  4. Step 4: Simplify right side
    234.46x = 53,092.48
  5. Step 5: Solve for x
    x = 53,092.48/234.46
  6. Step 6: Final answer
    x = 226.44

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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.