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Finding the Fourth Proportional to 201.11, 300.47 and 194.27

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Solution

The fourth proportional to 201.11, 300.47 and 194.27 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 300.47 = 194.27 : x
  2. Step 2: Convert to fraction form
    201.11/300.47 = 194.27/x
  3. Step 3: Cross multiply
    201.11x = 300.47 × 194.27
  4. Step 4: Simplify right side
    201.11x = 58,369.83
  5. Step 5: Solve for x
    x = 58,369.83/201.11
  6. Step 6: Final answer
    x = 290.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.