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Finding the Fourth Proportional to 204.73, 308.49 and 195.46

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Solution

The fourth proportional to 204.73, 308.49 and 195.46 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 308.49 = 195.46 : x
  2. Step 2: Convert to fraction form
    204.73/308.49 = 195.46/x
  3. Step 3: Cross multiply
    204.73x = 308.49 × 195.46
  4. Step 4: Simplify right side
    204.73x = 60,297.46
  5. Step 5: Solve for x
    x = 60,297.46/204.73
  6. Step 6: Final answer
    x = 294.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.