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Finding the Fourth Proportional to 220.46, 304.17 and 162.26

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Solution

The fourth proportional to 220.46, 304.17 and 162.26 is: 223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 304.17 = 162.26 : x
  2. Step 2: Convert to fraction form
    220.46/304.17 = 162.26/x
  3. Step 3: Cross multiply
    220.46x = 304.17 × 162.26
  4. Step 4: Simplify right side
    220.46x = 49,354.62
  5. Step 5: Solve for x
    x = 49,354.62/220.46
  6. Step 6: Final answer
    x = 223.87

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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.