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Finding the Fourth Proportional to 195.67, 292.11 and 166.47

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Solution

The fourth proportional to 195.67, 292.11 and 166.47 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 292.11 = 166.47 : x
  2. Step 2: Convert to fraction form
    195.67/292.11 = 166.47/x
  3. Step 3: Cross multiply
    195.67x = 292.11 × 166.47
  4. Step 4: Simplify right side
    195.67x = 48,627.55
  5. Step 5: Solve for x
    x = 48,627.55/195.67
  6. Step 6: Final answer
    x = 248.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.