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Finding the Fourth Proportional to 204.82, 281.06 and 186.26

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Solution

The fourth proportional to 204.82, 281.06 and 186.26 is: 255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.82 : 281.06 = 186.26 : x
  2. Step 2: Convert to fraction form
    204.82/281.06 = 186.26/x
  3. Step 3: Cross multiply
    204.82x = 281.06 × 186.26
  4. Step 4: Simplify right side
    204.82x = 52,350.52
  5. Step 5: Solve for x
    x = 52,350.52/204.82
  6. Step 6: Final answer
    x = 255.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.