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Finding the Fourth Proportional to 355.58, 490.71 and 198.20

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Solution

The fourth proportional to 355.58, 490.71 and 198.20 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.58 : 490.71 = 198.20 : x
  2. Step 2: Convert to fraction form
    355.58/490.71 = 198.20/x
  3. Step 3: Cross multiply
    355.58x = 490.71 × 198.20
  4. Step 4: Simplify right side
    355.58x = 97,256.27
  5. Step 5: Solve for x
    x = 97,256.27/355.58
  6. Step 6: Final answer
    x = 273.52

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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.