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Finding the Fourth Proportional to 191.25, 263.97 and 142.02

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Solution

The fourth proportional to 191.25, 263.97 and 142.02 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.25 : 263.97 = 142.02 : x
  2. Step 2: Convert to fraction form
    191.25/263.97 = 142.02/x
  3. Step 3: Cross multiply
    191.25x = 263.97 × 142.02
  4. Step 4: Simplify right side
    191.25x = 37,489.02
  5. Step 5: Solve for x
    x = 37,489.02/191.25
  6. Step 6: Final answer
    x = 196.02

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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.