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Finding the Fourth Proportional to 267, 400.50 and 164.22

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Solution

The fourth proportional to 267, 400.50 and 164.22 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 400.50 = 164.22 : x
  2. Step 2: Convert to fraction form
    267/400.50 = 164.22/x
  3. Step 3: Cross multiply
    267x = 400.50 × 164.22
  4. Step 4: Simplify right side
    267x = 65,770.11
  5. Step 5: Solve for x
    x = 65,770.11/267
  6. Step 6: Final answer
    x = 246.33

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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.