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Finding the Fourth Proportional to 191.96, 264.85 and 109.04

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Solution

The fourth proportional to 191.96, 264.85 and 109.04 is: 150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 264.85 = 109.04 : x
  2. Step 2: Convert to fraction form
    191.96/264.85 = 109.04/x
  3. Step 3: Cross multiply
    191.96x = 264.85 × 109.04
  4. Step 4: Simplify right side
    191.96x = 28,879.14
  5. Step 5: Solve for x
    x = 28,879.14/191.96
  6. Step 6: Final answer
    x = 150.44

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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.