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Finding the Fourth Proportional to 204.14, 281.62 and 154.48

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Solution

The fourth proportional to 204.14, 281.62 and 154.48 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 281.62 = 154.48 : x
  2. Step 2: Convert to fraction form
    204.14/281.62 = 154.48/x
  3. Step 3: Cross multiply
    204.14x = 281.62 × 154.48
  4. Step 4: Simplify right side
    204.14x = 43,504.66
  5. Step 5: Solve for x
    x = 43,504.66/204.14
  6. Step 6: Final answer
    x = 213.11

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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.