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Finding the Fourth Proportional to 198.55, 273.91 and 140.41

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Solution

The fourth proportional to 198.55, 273.91 and 140.41 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 273.91 = 140.41 : x
  2. Step 2: Convert to fraction form
    198.55/273.91 = 140.41/x
  3. Step 3: Cross multiply
    198.55x = 273.91 × 140.41
  4. Step 4: Simplify right side
    198.55x = 38,457.63
  5. Step 5: Solve for x
    x = 38,457.63/198.55
  6. Step 6: Final answer
    x = 193.70

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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.