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Finding the Fourth Proportional to 355.71, 490.84 and 198.34

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Solution

The fourth proportional to 355.71, 490.84 and 198.34 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.71 : 490.84 = 198.34 : x
  2. Step 2: Convert to fraction form
    355.71/490.84 = 198.34/x
  3. Step 3: Cross multiply
    355.71x = 490.84 × 198.34
  4. Step 4: Simplify right side
    355.71x = 97,353.21
  5. Step 5: Solve for x
    x = 97,353.21/355.71
  6. Step 6: Final answer
    x = 273.69

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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.