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Finding the Fourth Proportional to 194.03, 268.11 and 144.44

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Solution

The fourth proportional to 194.03, 268.11 and 144.44 is: 199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.03 : 268.11 = 144.44 : x
  2. Step 2: Convert to fraction form
    194.03/268.11 = 144.44/x
  3. Step 3: Cross multiply
    194.03x = 268.11 × 144.44
  4. Step 4: Simplify right side
    194.03x = 38,724.78
  5. Step 5: Solve for x
    x = 38,724.78/194.03
  6. Step 6: Final answer
    x = 199.58

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