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Finding the Fourth Proportional to 203.67, 280.73 and 144.68

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Solution

The fourth proportional to 203.67, 280.73 and 144.68 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 280.73 = 144.68 : x
  2. Step 2: Convert to fraction form
    203.67/280.73 = 144.68/x
  3. Step 3: Cross multiply
    203.67x = 280.73 × 144.68
  4. Step 4: Simplify right side
    203.67x = 40,614.97
  5. Step 5: Solve for x
    x = 40,614.97/203.67
  6. Step 6: Final answer
    x = 199.42

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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.