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Finding the Fourth Proportional to 197.64, 272.10 and 164.82

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Solution

The fourth proportional to 197.64, 272.10 and 164.82 is: 226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 272.10 = 164.82 : x
  2. Step 2: Convert to fraction form
    197.64/272.10 = 164.82/x
  3. Step 3: Cross multiply
    197.64x = 272.10 × 164.82
  4. Step 4: Simplify right side
    197.64x = 44,847.52
  5. Step 5: Solve for x
    x = 44,847.52/197.64
  6. Step 6: Final answer
    x = 226.92

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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.