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Finding the Fourth Proportional to 204.82, 282.46 and 138.44

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Solution

The fourth proportional to 204.82, 282.46 and 138.44 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.82 : 282.46 = 138.44 : x
  2. Step 2: Convert to fraction form
    204.82/282.46 = 138.44/x
  3. Step 3: Cross multiply
    204.82x = 282.46 × 138.44
  4. Step 4: Simplify right side
    204.82x = 39,103.07
  5. Step 5: Solve for x
    x = 39,103.07/204.82
  6. Step 6: Final answer
    x = 190.91

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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.