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Finding the Fourth Proportional to 355.87, 491.08 and 198.49

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Solution

The fourth proportional to 355.87, 491.08 and 198.49 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.87 : 491.08 = 198.49 : x
  2. Step 2: Convert to fraction form
    355.87/491.08 = 198.49/x
  3. Step 3: Cross multiply
    355.87x = 491.08 × 198.49
  4. Step 4: Simplify right side
    355.87x = 97,474.47
  5. Step 5: Solve for x
    x = 97,474.47/355.87
  6. Step 6: Final answer
    x = 273.90

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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.