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Finding the Fourth Proportional to 353.44, 487.75 and 198.19

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Solution

The fourth proportional to 353.44, 487.75 and 198.19 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 487.75 = 198.19 : x
  2. Step 2: Convert to fraction form
    353.44/487.75 = 198.19/x
  3. Step 3: Cross multiply
    353.44x = 487.75 × 198.19
  4. Step 4: Simplify right side
    353.44x = 96,665.46
  5. Step 5: Solve for x
    x = 96,665.46/353.44
  6. Step 6: Final answer
    x = 273.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.