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Finding the Fourth Proportional to 197.16, 272.34 and 164.76

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Solution

The fourth proportional to 197.16, 272.34 and 164.76 is: 227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 272.34 = 164.76 : x
  2. Step 2: Convert to fraction form
    197.16/272.34 = 164.76/x
  3. Step 3: Cross multiply
    197.16x = 272.34 × 164.76
  4. Step 4: Simplify right side
    197.16x = 44,870.74
  5. Step 5: Solve for x
    x = 44,870.74/197.16
  6. Step 6: Final answer
    x = 227.59

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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.