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Finding the Fourth Proportional to 364.23, 502.62 and 198.44

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Solution

The fourth proportional to 364.23, 502.62 and 198.44 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 502.62 = 198.44 : x
  2. Step 2: Convert to fraction form
    364.23/502.62 = 198.44/x
  3. Step 3: Cross multiply
    364.23x = 502.62 × 198.44
  4. Step 4: Simplify right side
    364.23x = 99,738.54
  5. Step 5: Solve for x
    x = 99,738.54/364.23
  6. Step 6: Final answer
    x = 273.83

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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.