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Finding the Fourth Proportional to 144.10, 198.84 and 119.44

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Solution

The fourth proportional to 144.10, 198.84 and 119.44 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 198.84 = 119.44 : x
  2. Step 2: Convert to fraction form
    144.10/198.84 = 119.44/x
  3. Step 3: Cross multiply
    144.10x = 198.84 × 119.44
  4. Step 4: Simplify right side
    144.10x = 23,749.45
  5. Step 5: Solve for x
    x = 23,749.45/144.10
  6. Step 6: Final answer
    x = 164.81

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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.