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Finding the Fourth Proportional to 267.60, 369.40 and 226.37

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Solution

The fourth proportional to 267.60, 369.40 and 226.37 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.60 : 369.40 = 226.37 : x
  2. Step 2: Convert to fraction form
    267.60/369.40 = 226.37/x
  3. Step 3: Cross multiply
    267.60x = 369.40 × 226.37
  4. Step 4: Simplify right side
    267.60x = 83,620.33
  5. Step 5: Solve for x
    x = 83,620.33/267.60
  6. Step 6: Final answer
    x = 312.48

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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.