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Finding the Fourth Proportional to 197.45, 272.19 and 164.64

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Solution

The fourth proportional to 197.45, 272.19 and 164.64 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.45 : 272.19 = 164.64 : x
  2. Step 2: Convert to fraction form
    197.45/272.19 = 164.64/x
  3. Step 3: Cross multiply
    197.45x = 272.19 × 164.64
  4. Step 4: Simplify right side
    197.45x = 44,815.00
  5. Step 5: Solve for x
    x = 44,815.00/197.45
  6. Step 6: Final answer
    x = 226.97

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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.