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Finding the Fourth Proportional to 191.82, 262.59 and 185.61

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Solution

The fourth proportional to 191.82, 262.59 and 185.61 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 262.59 = 185.61 : x
  2. Step 2: Convert to fraction form
    191.82/262.59 = 185.61/x
  3. Step 3: Cross multiply
    191.82x = 262.59 × 185.61
  4. Step 4: Simplify right side
    191.82x = 48,739.33
  5. Step 5: Solve for x
    x = 48,739.33/191.82
  6. Step 6: Final answer
    x = 254.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.