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Finding the Fourth Proportional to 197.47, 272.57 and 180.73

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Solution

The fourth proportional to 197.47, 272.57 and 180.73 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 272.57 = 180.73 : x
  2. Step 2: Convert to fraction form
    197.47/272.57 = 180.73/x
  3. Step 3: Cross multiply
    197.47x = 272.57 × 180.73
  4. Step 4: Simplify right side
    197.47x = 49,261.01
  5. Step 5: Solve for x
    x = 49,261.01/197.47
  6. Step 6: Final answer
    x = 249.46

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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.