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Finding the Fourth Proportional to 355.19, 490.15 and 197.82

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Solution

The fourth proportional to 355.19, 490.15 and 197.82 is: 272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.19 : 490.15 = 197.82 : x
  2. Step 2: Convert to fraction form
    355.19/490.15 = 197.82/x
  3. Step 3: Cross multiply
    355.19x = 490.15 × 197.82
  4. Step 4: Simplify right side
    355.19x = 96,961.47
  5. Step 5: Solve for x
    x = 96,961.47/355.19
  6. Step 6: Final answer
    x = 272.98

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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.