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Finding the Fourth Proportional to 204.73, 306.76 and 122.30

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Solution

The fourth proportional to 204.73, 306.76 and 122.30 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 306.76 = 122.30 : x
  2. Step 2: Convert to fraction form
    204.73/306.76 = 122.30/x
  3. Step 3: Cross multiply
    204.73x = 306.76 × 122.30
  4. Step 4: Simplify right side
    204.73x = 37,516.75
  5. Step 5: Solve for x
    x = 37,516.75/204.73
  6. Step 6: Final answer
    x = 183.25

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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.