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Finding the Fourth Proportional to 193.59, 289.17 and 191.97

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Solution

The fourth proportional to 193.59, 289.17 and 191.97 is: 286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 289.17 = 191.97 : x
  2. Step 2: Convert to fraction form
    193.59/289.17 = 191.97/x
  3. Step 3: Cross multiply
    193.59x = 289.17 × 191.97
  4. Step 4: Simplify right side
    193.59x = 55,511.96
  5. Step 5: Solve for x
    x = 55,511.96/193.59
  6. Step 6: Final answer
    x = 286.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.