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Finding the Fourth Proportional to 201.23, 301.12 and 171.97

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Solution

The fourth proportional to 201.23, 301.12 and 171.97 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 301.12 = 171.97 : x
  2. Step 2: Convert to fraction form
    201.23/301.12 = 171.97/x
  3. Step 3: Cross multiply
    201.23x = 301.12 × 171.97
  4. Step 4: Simplify right side
    201.23x = 51,784.12
  5. Step 5: Solve for x
    x = 51,784.12/201.23
  6. Step 6: Final answer
    x = 257.33

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