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Finding the Fourth Proportional to 191.82, 287.73 and 106.86

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Solution

The fourth proportional to 191.82, 287.73 and 106.86 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 287.73 = 106.86 : x
  2. Step 2: Convert to fraction form
    191.82/287.73 = 106.86/x
  3. Step 3: Cross multiply
    191.82x = 287.73 × 106.86
  4. Step 4: Simplify right side
    191.82x = 30,746.83
  5. Step 5: Solve for x
    x = 30,746.83/191.82
  6. Step 6: Final answer
    x = 160.29

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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.