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Finding the Fourth Proportional to 221.43, 305.52 and 163.35

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Solution

The fourth proportional to 221.43, 305.52 and 163.35 is: 225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 305.52 = 163.35 : x
  2. Step 2: Convert to fraction form
    221.43/305.52 = 163.35/x
  3. Step 3: Cross multiply
    221.43x = 305.52 × 163.35
  4. Step 4: Simplify right side
    221.43x = 49,906.69
  5. Step 5: Solve for x
    x = 49,906.69/221.43
  6. Step 6: Final answer
    x = 225.38

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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.