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Finding the Fourth Proportional to 203.69, 280.87 and 133.73

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Solution

The fourth proportional to 203.69, 280.87 and 133.73 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.69 : 280.87 = 133.73 : x
  2. Step 2: Convert to fraction form
    203.69/280.87 = 133.73/x
  3. Step 3: Cross multiply
    203.69x = 280.87 × 133.73
  4. Step 4: Simplify right side
    203.69x = 37,560.75
  5. Step 5: Solve for x
    x = 37,560.75/203.69
  6. Step 6: Final answer
    x = 184.40

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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.