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Finding the Fourth Proportional to 201.06, 301.40 and 85.43

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Solution

The fourth proportional to 201.06, 301.40 and 85.43 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 301.40 = 85.43 : x
  2. Step 2: Convert to fraction form
    201.06/301.40 = 85.43/x
  3. Step 3: Cross multiply
    201.06x = 301.40 × 85.43
  4. Step 4: Simplify right side
    201.06x = 25,748.60
  5. Step 5: Solve for x
    x = 25,748.60/201.06
  6. Step 6: Final answer
    x = 128.06

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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.