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Finding the Fourth Proportional to 267.37, 369.31 and 205.52

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Solution

The fourth proportional to 267.37, 369.31 and 205.52 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.37 : 369.31 = 205.52 : x
  2. Step 2: Convert to fraction form
    267.37/369.31 = 205.52/x
  3. Step 3: Cross multiply
    267.37x = 369.31 × 205.52
  4. Step 4: Simplify right side
    267.37x = 75,899.40
  5. Step 5: Solve for x
    x = 75,899.40/267.37
  6. Step 6: Final answer
    x = 283.88

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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.