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Finding the Fourth Proportional to 191.09, 263.86 and 142.29

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Solution

The fourth proportional to 191.09, 263.86 and 142.29 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 263.86 = 142.29 : x
  2. Step 2: Convert to fraction form
    191.09/263.86 = 142.29/x
  3. Step 3: Cross multiply
    191.09x = 263.86 × 142.29
  4. Step 4: Simplify right side
    191.09x = 37,544.28
  5. Step 5: Solve for x
    x = 37,544.28/191.09
  6. Step 6: Final answer
    x = 196.47

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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.