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Finding the Fourth Proportional to 220.91, 304.20 and 165.56

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Solution

The fourth proportional to 220.91, 304.20 and 165.56 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.91 : 304.20 = 165.56 : x
  2. Step 2: Convert to fraction form
    220.91/304.20 = 165.56/x
  3. Step 3: Cross multiply
    220.91x = 304.20 × 165.56
  4. Step 4: Simplify right side
    220.91x = 50,361.83
  5. Step 5: Solve for x
    x = 50,361.83/220.91
  6. Step 6: Final answer
    x = 227.98

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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.