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Finding the Fourth Proportional to 197.44, 271.68 and 166.24

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Solution

The fourth proportional to 197.44, 271.68 and 166.24 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 271.68 = 166.24 : x
  2. Step 2: Convert to fraction form
    197.44/271.68 = 166.24/x
  3. Step 3: Cross multiply
    197.44x = 271.68 × 166.24
  4. Step 4: Simplify right side
    197.44x = 45,164.08
  5. Step 5: Solve for x
    x = 45,164.08/197.44
  6. Step 6: Final answer
    x = 228.75

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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.