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Finding the Fourth Proportional to 144.49, 199.39 and 119.38

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Solution

The fourth proportional to 144.49, 199.39 and 119.38 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.49 : 199.39 = 119.38 : x
  2. Step 2: Convert to fraction form
    144.49/199.39 = 119.38/x
  3. Step 3: Cross multiply
    144.49x = 199.39 × 119.38
  4. Step 4: Simplify right side
    144.49x = 23,803.18
  5. Step 5: Solve for x
    x = 23,803.18/144.49
  6. Step 6: Final answer
    x = 164.74

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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.