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Finding the Fourth Proportional to 195.78, 269.91 and 164.82

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Solution

The fourth proportional to 195.78, 269.91 and 164.82 is: 227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 269.91 = 164.82 : x
  2. Step 2: Convert to fraction form
    195.78/269.91 = 164.82/x
  3. Step 3: Cross multiply
    195.78x = 269.91 × 164.82
  4. Step 4: Simplify right side
    195.78x = 44,486.57
  5. Step 5: Solve for x
    x = 44,486.57/195.78
  6. Step 6: Final answer
    x = 227.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.