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Finding the Fourth Proportional to 223.74, 335.84 and 93.82

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Solution

The fourth proportional to 223.74, 335.84 and 93.82 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 335.84 = 93.82 : x
  2. Step 2: Convert to fraction form
    223.74/335.84 = 93.82/x
  3. Step 3: Cross multiply
    223.74x = 335.84 × 93.82
  4. Step 4: Simplify right side
    223.74x = 31,508.51
  5. Step 5: Solve for x
    x = 31,508.51/223.74
  6. Step 6: Final answer
    x = 140.83

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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.