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Finding the Fourth Proportional to 197.13, 295.64 and 166.31

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Solution

The fourth proportional to 197.13, 295.64 and 166.31 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 295.64 = 166.31 : x
  2. Step 2: Convert to fraction form
    197.13/295.64 = 166.31/x
  3. Step 3: Cross multiply
    197.13x = 295.64 × 166.31
  4. Step 4: Simplify right side
    197.13x = 49,167.89
  5. Step 5: Solve for x
    x = 49,167.89/197.13
  6. Step 6: Final answer
    x = 249.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.