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Finding the Fourth Proportional to 355.14, 490.05 and 197.76

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Solution

The fourth proportional to 355.14, 490.05 and 197.76 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 490.05 = 197.76 : x
  2. Step 2: Convert to fraction form
    355.14/490.05 = 197.76/x
  3. Step 3: Cross multiply
    355.14x = 490.05 × 197.76
  4. Step 4: Simplify right side
    355.14x = 96,912.29
  5. Step 5: Solve for x
    x = 96,912.29/355.14
  6. Step 6: Final answer
    x = 272.88

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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.