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Finding the Fourth Proportional to 196.67, 295.14 and 179.66

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Solution

The fourth proportional to 196.67, 295.14 and 179.66 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 295.14 = 179.66 : x
  2. Step 2: Convert to fraction form
    196.67/295.14 = 179.66/x
  3. Step 3: Cross multiply
    196.67x = 295.14 × 179.66
  4. Step 4: Simplify right side
    196.67x = 53,023.38
  5. Step 5: Solve for x
    x = 53,023.38/196.67
  6. Step 6: Final answer
    x = 269.61

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