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Finding the Fourth Proportional to 204.01, 281.46 and 133.95

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Solution

The fourth proportional to 204.01, 281.46 and 133.95 is: 184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.01 : 281.46 = 133.95 : x
  2. Step 2: Convert to fraction form
    204.01/281.46 = 133.95/x
  3. Step 3: Cross multiply
    204.01x = 281.46 × 133.95
  4. Step 4: Simplify right side
    204.01x = 37,702.94
  5. Step 5: Solve for x
    x = 37,702.94/204.01
  6. Step 6: Final answer
    x = 184.81

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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.