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Finding the Fourth Proportional to 201.08, 301.12 and 140.13

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Solution

The fourth proportional to 201.08, 301.12 and 140.13 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 301.12 = 140.13 : x
  2. Step 2: Convert to fraction form
    201.08/301.12 = 140.13/x
  3. Step 3: Cross multiply
    201.08x = 301.12 × 140.13
  4. Step 4: Simplify right side
    201.08x = 42,195.60
  5. Step 5: Solve for x
    x = 42,195.60/201.08
  6. Step 6: Final answer
    x = 209.84

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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.