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Finding the Fourth Proportional to 234.30, 323.46 and 164.46

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Solution

The fourth proportional to 234.30, 323.46 and 164.46 is: 227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 323.46 = 164.46 : x
  2. Step 2: Convert to fraction form
    234.30/323.46 = 164.46/x
  3. Step 3: Cross multiply
    234.30x = 323.46 × 164.46
  4. Step 4: Simplify right side
    234.30x = 53,196.23
  5. Step 5: Solve for x
    x = 53,196.23/234.30
  6. Step 6: Final answer
    x = 227.04

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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.