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Finding the Fourth Proportional to 355.27, 490.30 and 197.95

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Solution

The fourth proportional to 355.27, 490.30 and 197.95 is: 273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.27 : 490.30 = 197.95 : x
  2. Step 2: Convert to fraction form
    355.27/490.30 = 197.95/x
  3. Step 3: Cross multiply
    355.27x = 490.30 × 197.95
  4. Step 4: Simplify right side
    355.27x = 97,054.89
  5. Step 5: Solve for x
    x = 97,054.89/355.27
  6. Step 6: Final answer
    x = 273.19

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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.