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Finding the Fourth Proportional to 201.24, 301.14 and 139.95

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Solution

The fourth proportional to 201.24, 301.14 and 139.95 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 301.14 = 139.95 : x
  2. Step 2: Convert to fraction form
    201.24/301.14 = 139.95/x
  3. Step 3: Cross multiply
    201.24x = 301.14 × 139.95
  4. Step 4: Simplify right side
    201.24x = 42,144.54
  5. Step 5: Solve for x
    x = 42,144.54/201.24
  6. Step 6: Final answer
    x = 209.42

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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.