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Finding the Fourth Proportional to 221.88, 333.24 and 167.64

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Solution

The fourth proportional to 221.88, 333.24 and 167.64 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.88 : 333.24 = 167.64 : x
  2. Step 2: Convert to fraction form
    221.88/333.24 = 167.64/x
  3. Step 3: Cross multiply
    221.88x = 333.24 × 167.64
  4. Step 4: Simplify right side
    221.88x = 55,864.35
  5. Step 5: Solve for x
    x = 55,864.35/221.88
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.