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Finding the Fourth Proportional to 220.32, 303.78 and 164.96

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Solution

The fourth proportional to 220.32, 303.78 and 164.96 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 303.78 = 164.96 : x
  2. Step 2: Convert to fraction form
    220.32/303.78 = 164.96/x
  3. Step 3: Cross multiply
    220.32x = 303.78 × 164.96
  4. Step 4: Simplify right side
    220.32x = 50,110.03
  5. Step 5: Solve for x
    x = 50,110.03/220.32
  6. Step 6: Final answer
    x = 227.44

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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.