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Finding the Fourth Proportional to 331.20, 456.81 and 220.82

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Solution

The fourth proportional to 331.20, 456.81 and 220.82 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 456.81 = 220.82 : x
  2. Step 2: Convert to fraction form
    331.20/456.81 = 220.82/x
  3. Step 3: Cross multiply
    331.20x = 456.81 × 220.82
  4. Step 4: Simplify right side
    331.20x = 100,873.37
  5. Step 5: Solve for x
    x = 100,873.37/331.20
  6. Step 6: Final answer
    x = 304.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.