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Finding the Fourth Proportional to 193.11, 265.03 and 190.14

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Solution

The fourth proportional to 193.11, 265.03 and 190.14 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 265.03 = 190.14 : x
  2. Step 2: Convert to fraction form
    193.11/265.03 = 190.14/x
  3. Step 3: Cross multiply
    193.11x = 265.03 × 190.14
  4. Step 4: Simplify right side
    193.11x = 50,392.80
  5. Step 5: Solve for x
    x = 50,392.80/193.11
  6. Step 6: Final answer
    x = 260.95

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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.