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Finding the Fourth Proportional to 223.43, 335.34 and 162.68

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Solution

The fourth proportional to 223.43, 335.34 and 162.68 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.43 : 335.34 = 162.68 : x
  2. Step 2: Convert to fraction form
    223.43/335.34 = 162.68/x
  3. Step 3: Cross multiply
    223.43x = 335.34 × 162.68
  4. Step 4: Simplify right side
    223.43x = 54,551.43
  5. Step 5: Solve for x
    x = 54,551.43/223.43
  6. Step 6: Final answer
    x = 244.16

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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.