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Finding the Fourth Proportional to 195.11, 267.77 and 192.14

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Solution

The fourth proportional to 195.11, 267.77 and 192.14 is: 263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.11 : 267.77 = 192.14 : x
  2. Step 2: Convert to fraction form
    195.11/267.77 = 192.14/x
  3. Step 3: Cross multiply
    195.11x = 267.77 × 192.14
  4. Step 4: Simplify right side
    195.11x = 51,449.33
  5. Step 5: Solve for x
    x = 51,449.33/195.11
  6. Step 6: Final answer
    x = 263.69

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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.