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Finding the Fourth Proportional to 203.97, 305.99 and 75.81

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Solution

The fourth proportional to 203.97, 305.99 and 75.81 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.97 : 305.99 = 75.81 : x
  2. Step 2: Convert to fraction form
    203.97/305.99 = 75.81/x
  3. Step 3: Cross multiply
    203.97x = 305.99 × 75.81
  4. Step 4: Simplify right side
    203.97x = 23,196.72
  5. Step 5: Solve for x
    x = 23,196.72/203.97
  6. Step 6: Final answer
    x = 113.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.