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Finding the Fourth Proportional to 355.56, 490.71 and 198.22

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Solution

The fourth proportional to 355.56, 490.71 and 198.22 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.56 : 490.71 = 198.22 : x
  2. Step 2: Convert to fraction form
    355.56/490.71 = 198.22/x
  3. Step 3: Cross multiply
    355.56x = 490.71 × 198.22
  4. Step 4: Simplify right side
    355.56x = 97,269.03
  5. Step 5: Solve for x
    x = 97,269.03/355.56
  6. Step 6: Final answer
    x = 273.56

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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.