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Finding the Fourth Proportional to 267.56, 369.22 and 164.04

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Solution

The fourth proportional to 267.56, 369.22 and 164.04 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.56 : 369.22 = 164.04 : x
  2. Step 2: Convert to fraction form
    267.56/369.22 = 164.04/x
  3. Step 3: Cross multiply
    267.56x = 369.22 × 164.04
  4. Step 4: Simplify right side
    267.56x = 60,566.85
  5. Step 5: Solve for x
    x = 60,566.85/267.56
  6. Step 6: Final answer
    x = 226.37

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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.