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Finding the Fourth Proportional to 267.22, 400.62 and 164.56

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Solution

The fourth proportional to 267.22, 400.62 and 164.56 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 400.62 = 164.56 : x
  2. Step 2: Convert to fraction form
    267.22/400.62 = 164.56/x
  3. Step 3: Cross multiply
    267.22x = 400.62 × 164.56
  4. Step 4: Simplify right side
    267.22x = 65,926.03
  5. Step 5: Solve for x
    x = 65,926.03/267.22
  6. Step 6: Final answer
    x = 246.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.