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Finding the Fourth Proportional to 267.31, 369.09 and 205.04

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Solution

The fourth proportional to 267.31, 369.09 and 205.04 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.31 : 369.09 = 205.04 : x
  2. Step 2: Convert to fraction form
    267.31/369.09 = 205.04/x
  3. Step 3: Cross multiply
    267.31x = 369.09 × 205.04
  4. Step 4: Simplify right side
    267.31x = 75,678.96
  5. Step 5: Solve for x
    x = 75,678.96/267.31
  6. Step 6: Final answer
    x = 283.11

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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.