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Finding the Fourth Proportional to 223.22, 334.94 and 107.72

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Solution

The fourth proportional to 223.22, 334.94 and 107.72 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.22 : 334.94 = 107.72 : x
  2. Step 2: Convert to fraction form
    223.22/334.94 = 107.72/x
  3. Step 3: Cross multiply
    223.22x = 334.94 × 107.72
  4. Step 4: Simplify right side
    223.22x = 36,079.20
  5. Step 5: Solve for x
    x = 36,079.20/223.22
  6. Step 6: Final answer
    x = 161.63

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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.