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Finding the Fourth Proportional to 223.62, 335.43 and 185.54

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Solution

The fourth proportional to 223.62, 335.43 and 185.54 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 335.43 = 185.54 : x
  2. Step 2: Convert to fraction form
    223.62/335.43 = 185.54/x
  3. Step 3: Cross multiply
    223.62x = 335.43 × 185.54
  4. Step 4: Simplify right side
    223.62x = 62,235.68
  5. Step 5: Solve for x
    x = 62,235.68/223.62
  6. Step 6: Final answer
    x = 278.31

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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.