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Finding the Fourth Proportional to 197.78, 272.69 and 160.86

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Solution

The fourth proportional to 197.78, 272.69 and 160.86 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 272.69 = 160.86 : x
  2. Step 2: Convert to fraction form
    197.78/272.69 = 160.86/x
  3. Step 3: Cross multiply
    197.78x = 272.69 × 160.86
  4. Step 4: Simplify right side
    197.78x = 43,864.11
  5. Step 5: Solve for x
    x = 43,864.11/197.78
  6. Step 6: Final answer
    x = 221.78

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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.