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Finding the Fourth Proportional to 201.09, 301.41 and 132.66

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Solution

The fourth proportional to 201.09, 301.41 and 132.66 is: 198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 301.41 = 132.66 : x
  2. Step 2: Convert to fraction form
    201.09/301.41 = 132.66/x
  3. Step 3: Cross multiply
    201.09x = 301.41 × 132.66
  4. Step 4: Simplify right side
    201.09x = 39,985.05
  5. Step 5: Solve for x
    x = 39,985.05/201.09
  6. Step 6: Final answer
    x = 198.84

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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.