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Finding the Fourth Proportional to 204.73, 307.09 and 82.96

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Solution

The fourth proportional to 204.73, 307.09 and 82.96 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 307.09 = 82.96 : x
  2. Step 2: Convert to fraction form
    204.73/307.09 = 82.96/x
  3. Step 3: Cross multiply
    204.73x = 307.09 × 82.96
  4. Step 4: Simplify right side
    204.73x = 25,476.19
  5. Step 5: Solve for x
    x = 25,476.19/204.73
  6. Step 6: Final answer
    x = 124.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.