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Finding the Fourth Proportional to 203.82, 305.61 and 73.86

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Solution

The fourth proportional to 203.82, 305.61 and 73.86 is: 110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 305.61 = 73.86 : x
  2. Step 2: Convert to fraction form
    203.82/305.61 = 73.86/x
  3. Step 3: Cross multiply
    203.82x = 305.61 × 73.86
  4. Step 4: Simplify right side
    203.82x = 22,572.35
  5. Step 5: Solve for x
    x = 22,572.35/203.82
  6. Step 6: Final answer
    x = 110.75

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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.