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Finding the Fourth Proportional to 234.31, 323.00 and 164.15

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Solution

The fourth proportional to 234.31, 323.00 and 164.15 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.31 : 323.00 = 164.15 : x
  2. Step 2: Convert to fraction form
    234.31/323.00 = 164.15/x
  3. Step 3: Cross multiply
    234.31x = 323.00 × 164.15
  4. Step 4: Simplify right side
    234.31x = 53,018.01
  5. Step 5: Solve for x
    x = 53,018.01/234.31
  6. Step 6: Final answer
    x = 226.28

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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.