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Finding the Fourth Proportional to 164.01, 224.71 and 161.73

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Solution

The fourth proportional to 164.01, 224.71 and 161.73 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.01 : 224.71 = 161.73 : x
  2. Step 2: Convert to fraction form
    164.01/224.71 = 161.73/x
  3. Step 3: Cross multiply
    164.01x = 224.71 × 161.73
  4. Step 4: Simplify right side
    164.01x = 36,342.35
  5. Step 5: Solve for x
    x = 36,342.35/164.01
  6. Step 6: Final answer
    x = 221.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.