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Finding the Fourth Proportional to 234.23, 322.80 and 164.06

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Solution

The fourth proportional to 234.23, 322.80 and 164.06 is: 226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 322.80 = 164.06 : x
  2. Step 2: Convert to fraction form
    234.23/322.80 = 164.06/x
  3. Step 3: Cross multiply
    234.23x = 322.80 × 164.06
  4. Step 4: Simplify right side
    234.23x = 52,956.95
  5. Step 5: Solve for x
    x = 52,956.95/234.23
  6. Step 6: Final answer
    x = 226.09

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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.