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Finding the Fourth Proportional to 267.49, 368.90 and 205.47

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Solution

The fourth proportional to 267.49, 368.90 and 205.47 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.49 : 368.90 = 205.47 : x
  2. Step 2: Convert to fraction form
    267.49/368.90 = 205.47/x
  3. Step 3: Cross multiply
    267.49x = 368.90 × 205.47
  4. Step 4: Simplify right side
    267.49x = 75,796.04
  5. Step 5: Solve for x
    x = 75,796.04/267.49
  6. Step 6: Final answer
    x = 283.37

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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.