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Finding the Fourth Proportional to 234.47, 323.25 and 164.41

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Solution

The fourth proportional to 234.47, 323.25 and 164.41 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 323.25 = 164.41 : x
  2. Step 2: Convert to fraction form
    234.47/323.25 = 164.41/x
  3. Step 3: Cross multiply
    234.47x = 323.25 × 164.41
  4. Step 4: Simplify right side
    234.47x = 53,145.53
  5. Step 5: Solve for x
    x = 53,145.53/234.47
  6. Step 6: Final answer
    x = 226.66

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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.