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Finding the Fourth Proportional to 197.56, 272.45 and 175.44

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Solution

The fourth proportional to 197.56, 272.45 and 175.44 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 272.45 = 175.44 : x
  2. Step 2: Convert to fraction form
    197.56/272.45 = 175.44/x
  3. Step 3: Cross multiply
    197.56x = 272.45 × 175.44
  4. Step 4: Simplify right side
    197.56x = 47,799.07
  5. Step 5: Solve for x
    x = 47,799.07/197.56
  6. Step 6: Final answer
    x = 241.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.