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Finding the Fourth Proportional to 201.54, 301.96 and 128.23

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Solution

The fourth proportional to 201.54, 301.96 and 128.23 is: 192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 301.96 = 128.23 : x
  2. Step 2: Convert to fraction form
    201.54/301.96 = 128.23/x
  3. Step 3: Cross multiply
    201.54x = 301.96 × 128.23
  4. Step 4: Simplify right side
    201.54x = 38,720.33
  5. Step 5: Solve for x
    x = 38,720.33/201.54
  6. Step 6: Final answer
    x = 192.12

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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.