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Finding the Fourth Proportional to 197.66, 272.67 and 164.90

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Solution

The fourth proportional to 197.66, 272.67 and 164.90 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.66 : 272.67 = 164.90 : x
  2. Step 2: Convert to fraction form
    197.66/272.67 = 164.90/x
  3. Step 3: Cross multiply
    197.66x = 272.67 × 164.90
  4. Step 4: Simplify right side
    197.66x = 44,963.28
  5. Step 5: Solve for x
    x = 44,963.28/197.66
  6. Step 6: Final answer
    x = 227.48

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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.