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Finding the Fourth Proportional to 223.36, 335.16 and 107.80

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Solution

The fourth proportional to 223.36, 335.16 and 107.80 is: 161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.36 : 335.16 = 107.80 : x
  2. Step 2: Convert to fraction form
    223.36/335.16 = 107.80/x
  3. Step 3: Cross multiply
    223.36x = 335.16 × 107.80
  4. Step 4: Simplify right side
    223.36x = 36,129.41
  5. Step 5: Solve for x
    x = 36,129.41/223.36
  6. Step 6: Final answer
    x = 161.76

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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.