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Finding the Fourth Proportional to 191.92, 264.82 and 129.66

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Solution

The fourth proportional to 191.92, 264.82 and 129.66 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.92 : 264.82 = 129.66 : x
  2. Step 2: Convert to fraction form
    191.92/264.82 = 129.66/x
  3. Step 3: Cross multiply
    191.92x = 264.82 × 129.66
  4. Step 4: Simplify right side
    191.92x = 34,336.56
  5. Step 5: Solve for x
    x = 34,336.56/191.92
  6. Step 6: Final answer
    x = 178.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.