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Finding the Fourth Proportional to 197.60, 272.61 and 180.59

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Solution

The fourth proportional to 197.60, 272.61 and 180.59 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 272.61 = 180.59 : x
  2. Step 2: Convert to fraction form
    197.60/272.61 = 180.59/x
  3. Step 3: Cross multiply
    197.60x = 272.61 × 180.59
  4. Step 4: Simplify right side
    197.60x = 49,229.28
  5. Step 5: Solve for x
    x = 49,229.28/197.60
  6. Step 6: Final answer
    x = 249.14

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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.