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Finding the Fourth Proportional to 197.37, 272.40 and 166.23

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Solution

The fourth proportional to 197.37, 272.40 and 166.23 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 272.40 = 166.23 : x
  2. Step 2: Convert to fraction form
    197.37/272.40 = 166.23/x
  3. Step 3: Cross multiply
    197.37x = 272.40 × 166.23
  4. Step 4: Simplify right side
    197.37x = 45,281.05
  5. Step 5: Solve for x
    x = 45,281.05/197.37
  6. Step 6: Final answer
    x = 229.42

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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.