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Finding the Fourth Proportional to 204.00, 306.04 and 94.27

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Solution

The fourth proportional to 204.00, 306.04 and 94.27 is: 141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.00 : 306.04 = 94.27 : x
  2. Step 2: Convert to fraction form
    204.00/306.04 = 94.27/x
  3. Step 3: Cross multiply
    204.00x = 306.04 × 94.27
  4. Step 4: Simplify right side
    204.00x = 28,850.14
  5. Step 5: Solve for x
    x = 28,850.14/204.00
  6. Step 6: Final answer
    x = 141.42

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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.