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Finding the Fourth Proportional to 234.45, 323.42 and 164.55

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Solution

The fourth proportional to 234.45, 323.42 and 164.55 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.45 : 323.42 = 164.55 : x
  2. Step 2: Convert to fraction form
    234.45/323.42 = 164.55/x
  3. Step 3: Cross multiply
    234.45x = 323.42 × 164.55
  4. Step 4: Simplify right side
    234.45x = 53,218.76
  5. Step 5: Solve for x
    x = 53,218.76/234.45
  6. Step 6: Final answer
    x = 226.99

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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.