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Finding the Fourth Proportional to 193.11, 268.37 and 191.13

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Solution

The fourth proportional to 193.11, 268.37 and 191.13 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 268.37 = 191.13 : x
  2. Step 2: Convert to fraction form
    193.11/268.37 = 191.13/x
  3. Step 3: Cross multiply
    193.11x = 268.37 × 191.13
  4. Step 4: Simplify right side
    193.11x = 51,292.60
  5. Step 5: Solve for x
    x = 51,292.60/193.11
  6. Step 6: Final answer
    x = 265.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.