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Finding the Fourth Proportional to 204.23, 281.66 and 185.78

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Solution

The fourth proportional to 204.23, 281.66 and 185.78 is: 256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.23 : 281.66 = 185.78 : x
  2. Step 2: Convert to fraction form
    204.23/281.66 = 185.78/x
  3. Step 3: Cross multiply
    204.23x = 281.66 × 185.78
  4. Step 4: Simplify right side
    204.23x = 52,326.79
  5. Step 5: Solve for x
    x = 52,326.79/204.23
  6. Step 6: Final answer
    x = 256.22

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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.