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Finding the Fourth Proportional to 234.06, 322.89 and 164.09

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Solution

The fourth proportional to 234.06, 322.89 and 164.09 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 322.89 = 164.09 : x
  2. Step 2: Convert to fraction form
    234.06/322.89 = 164.09/x
  3. Step 3: Cross multiply
    234.06x = 322.89 × 164.09
  4. Step 4: Simplify right side
    234.06x = 52,983.02
  5. Step 5: Solve for x
    x = 52,983.02/234.06
  6. Step 6: Final answer
    x = 226.37

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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.