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Finding the Fourth Proportional to 269.36, 371.63 and 164.41

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Solution

The fourth proportional to 269.36, 371.63 and 164.41 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 371.63 = 164.41 : x
  2. Step 2: Convert to fraction form
    269.36/371.63 = 164.41/x
  3. Step 3: Cross multiply
    269.36x = 371.63 × 164.41
  4. Step 4: Simplify right side
    269.36x = 61,099.69
  5. Step 5: Solve for x
    x = 61,099.69/269.36
  6. Step 6: Final answer
    x = 226.83

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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.