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Finding the Fourth Proportional to 223.14, 334.57 and 107.43

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Solution

The fourth proportional to 223.14, 334.57 and 107.43 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 334.57 = 107.43 : x
  2. Step 2: Convert to fraction form
    223.14/334.57 = 107.43/x
  3. Step 3: Cross multiply
    223.14x = 334.57 × 107.43
  4. Step 4: Simplify right side
    223.14x = 35,942.86
  5. Step 5: Solve for x
    x = 35,942.86/223.14
  6. Step 6: Final answer
    x = 161.08

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