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Finding the Fourth Proportional to 221.46, 333.82 and 202.97

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Solution

The fourth proportional to 221.46, 333.82 and 202.97 is: 305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.46 : 333.82 = 202.97 : x
  2. Step 2: Convert to fraction form
    221.46/333.82 = 202.97/x
  3. Step 3: Cross multiply
    221.46x = 333.82 × 202.97
  4. Step 4: Simplify right side
    221.46x = 67,755.45
  5. Step 5: Solve for x
    x = 67,755.45/221.46
  6. Step 6: Final answer
    x = 305.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.