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Finding the Fourth Proportional to 364.09, 502.44 and 198.30

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Solution

The fourth proportional to 364.09, 502.44 and 198.30 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.09 : 502.44 = 198.30 : x
  2. Step 2: Convert to fraction form
    364.09/502.44 = 198.30/x
  3. Step 3: Cross multiply
    364.09x = 502.44 × 198.30
  4. Step 4: Simplify right side
    364.09x = 99,631.27
  5. Step 5: Solve for x
    x = 99,631.27/364.09
  6. Step 6: Final answer
    x = 273.65

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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.