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Finding the Fourth Proportional to 191.22, 286.52 and 136.11

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Solution

The fourth proportional to 191.22, 286.52 and 136.11 is: 203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.22 : 286.52 = 136.11 : x
  2. Step 2: Convert to fraction form
    191.22/286.52 = 136.11/x
  3. Step 3: Cross multiply
    191.22x = 286.52 × 136.11
  4. Step 4: Simplify right side
    191.22x = 38,997.56
  5. Step 5: Solve for x
    x = 38,997.56/191.22
  6. Step 6: Final answer
    x = 203.94

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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.