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Finding the Fourth Proportional to 268.96, 371.19 and 164.06

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Solution

The fourth proportional to 268.96, 371.19 and 164.06 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.96 : 371.19 = 164.06 : x
  2. Step 2: Convert to fraction form
    268.96/371.19 = 164.06/x
  3. Step 3: Cross multiply
    268.96x = 371.19 × 164.06
  4. Step 4: Simplify right side
    268.96x = 60,897.43
  5. Step 5: Solve for x
    x = 60,897.43/268.96
  6. Step 6: Final answer
    x = 226.42

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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.