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Finding the Fourth Proportional to 144.20, 199.14 and 119.82

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Solution

The fourth proportional to 144.20, 199.14 and 119.82 is: 165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 199.14 = 119.82 : x
  2. Step 2: Convert to fraction form
    144.20/199.14 = 119.82/x
  3. Step 3: Cross multiply
    144.20x = 199.14 × 119.82
  4. Step 4: Simplify right side
    144.20x = 23,860.95
  5. Step 5: Solve for x
    x = 23,860.95/144.20
  6. Step 6: Final answer
    x = 165.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.