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Finding the Fourth Proportional to 223.38, 335.46 and 189.54

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Solution

The fourth proportional to 223.38, 335.46 and 189.54 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 335.46 = 189.54 : x
  2. Step 2: Convert to fraction form
    223.38/335.46 = 189.54/x
  3. Step 3: Cross multiply
    223.38x = 335.46 × 189.54
  4. Step 4: Simplify right side
    223.38x = 63,583.09
  5. Step 5: Solve for x
    x = 63,583.09/223.38
  6. Step 6: Final answer
    x = 284.64

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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.