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Finding the Fourth Proportional to 364.33, 502.77 and 198.54

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Solution

The fourth proportional to 364.33, 502.77 and 198.54 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.33 : 502.77 = 198.54 : x
  2. Step 2: Convert to fraction form
    364.33/502.77 = 198.54/x
  3. Step 3: Cross multiply
    364.33x = 502.77 × 198.54
  4. Step 4: Simplify right side
    364.33x = 99,819.96
  5. Step 5: Solve for x
    x = 99,819.96/364.33
  6. Step 6: Final answer
    x = 273.98

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