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Finding the Fourth Proportional to 213.62, 294.73 and 164.41

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Solution

The fourth proportional to 213.62, 294.73 and 164.41 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.62 : 294.73 = 164.41 : x
  2. Step 2: Convert to fraction form
    213.62/294.73 = 164.41/x
  3. Step 3: Cross multiply
    213.62x = 294.73 × 164.41
  4. Step 4: Simplify right side
    213.62x = 48,456.56
  5. Step 5: Solve for x
    x = 48,456.56/213.62
  6. Step 6: Final answer
    x = 226.84

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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.