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Finding the Fourth Proportional to 203.50, 305.13 and 81.82

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Solution

The fourth proportional to 203.50, 305.13 and 81.82 is: 122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 305.13 = 81.82 : x
  2. Step 2: Convert to fraction form
    203.50/305.13 = 81.82/x
  3. Step 3: Cross multiply
    203.50x = 305.13 × 81.82
  4. Step 4: Simplify right side
    203.50x = 24,965.74
  5. Step 5: Solve for x
    x = 24,965.74/203.50
  6. Step 6: Final answer
    x = 122.68

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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.