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Finding the Fourth Proportional to 197.73, 272.88 and 164.93

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Solution

The fourth proportional to 197.73, 272.88 and 164.93 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.73 : 272.88 = 164.93 : x
  2. Step 2: Convert to fraction form
    197.73/272.88 = 164.93/x
  3. Step 3: Cross multiply
    197.73x = 272.88 × 164.93
  4. Step 4: Simplify right side
    197.73x = 45,004.73
  5. Step 5: Solve for x
    x = 45,004.73/197.73
  6. Step 6: Final answer
    x = 227.61

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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.