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Finding the Fourth Proportional to 195.92, 268.18 and 189.36

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Solution

The fourth proportional to 195.92, 268.18 and 189.36 is: 259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 268.18 = 189.36 : x
  2. Step 2: Convert to fraction form
    195.92/268.18 = 189.36/x
  3. Step 3: Cross multiply
    195.92x = 268.18 × 189.36
  4. Step 4: Simplify right side
    195.92x = 50,782.56
  5. Step 5: Solve for x
    x = 50,782.56/195.92
  6. Step 6: Final answer
    x = 259.20

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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.