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Finding the Fourth Proportional to 267.22, 368.50 and 204.37

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Solution

The fourth proportional to 267.22, 368.50 and 204.37 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 368.50 = 204.37 : x
  2. Step 2: Convert to fraction form
    267.22/368.50 = 204.37/x
  3. Step 3: Cross multiply
    267.22x = 368.50 × 204.37
  4. Step 4: Simplify right side
    267.22x = 75,310.35
  5. Step 5: Solve for x
    x = 75,310.35/267.22
  6. Step 6: Final answer
    x = 281.83

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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.