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Finding the Fourth Proportional to 355.53, 490.64 and 198.17

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Solution

The fourth proportional to 355.53, 490.64 and 198.17 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.53 : 490.64 = 198.17 : x
  2. Step 2: Convert to fraction form
    355.53/490.64 = 198.17/x
  3. Step 3: Cross multiply
    355.53x = 490.64 × 198.17
  4. Step 4: Simplify right side
    355.53x = 97,230.13
  5. Step 5: Solve for x
    x = 97,230.13/355.53
  6. Step 6: Final answer
    x = 273.48

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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.