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Finding the Fourth Proportional to 195.11, 271.14 and 193.13

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Solution

The fourth proportional to 195.11, 271.14 and 193.13 is: 268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.11 : 271.14 = 193.13 : x
  2. Step 2: Convert to fraction form
    195.11/271.14 = 193.13/x
  3. Step 3: Cross multiply
    195.11x = 271.14 × 193.13
  4. Step 4: Simplify right side
    195.11x = 52,365.27
  5. Step 5: Solve for x
    x = 52,365.27/195.11
  6. Step 6: Final answer
    x = 268.39

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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.