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Finding the Fourth Proportional to 223.38, 335.75 and 218.60

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Solution

The fourth proportional to 223.38, 335.75 and 218.60 is: 328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 335.75 = 218.60 : x
  2. Step 2: Convert to fraction form
    223.38/335.75 = 218.60/x
  3. Step 3: Cross multiply
    223.38x = 335.75 × 218.60
  4. Step 4: Simplify right side
    223.38x = 73,393.82
  5. Step 5: Solve for x
    x = 73,393.82/223.38
  6. Step 6: Final answer
    x = 328.56

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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.