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Finding the Fourth Proportional to 223.30, 334.92 and 107.72

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Solution

The fourth proportional to 223.30, 334.92 and 107.72 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.30 : 334.92 = 107.72 : x
  2. Step 2: Convert to fraction form
    223.30/334.92 = 107.72/x
  3. Step 3: Cross multiply
    223.30x = 334.92 × 107.72
  4. Step 4: Simplify right side
    223.30x = 36,077.58
  5. Step 5: Solve for x
    x = 36,077.58/223.30
  6. Step 6: Final answer
    x = 161.57

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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.