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Finding the Fourth Proportional to 196.92, 269.55 and 190.36

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Solution

The fourth proportional to 196.92, 269.55 and 190.36 is: 260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 269.55 = 190.36 : x
  2. Step 2: Convert to fraction form
    196.92/269.55 = 190.36/x
  3. Step 3: Cross multiply
    196.92x = 269.55 × 190.36
  4. Step 4: Simplify right side
    196.92x = 51,311.54
  5. Step 5: Solve for x
    x = 51,311.54/196.92
  6. Step 6: Final answer
    x = 260.57

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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.