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Finding the Fourth Proportional to 197.42, 272.63 and 164.28

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Solution

The fourth proportional to 197.42, 272.63 and 164.28 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 272.63 = 164.28 : x
  2. Step 2: Convert to fraction form
    197.42/272.63 = 164.28/x
  3. Step 3: Cross multiply
    197.42x = 272.63 × 164.28
  4. Step 4: Simplify right side
    197.42x = 44,786.84
  5. Step 5: Solve for x
    x = 44,786.84/197.42
  6. Step 6: Final answer
    x = 226.86

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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.