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Finding the Fourth Proportional to 195.27, 269.59 and 136.36

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Solution

The fourth proportional to 195.27, 269.59 and 136.36 is: 188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.27 : 269.59 = 136.36 : x
  2. Step 2: Convert to fraction form
    195.27/269.59 = 136.36/x
  3. Step 3: Cross multiply
    195.27x = 269.59 × 136.36
  4. Step 4: Simplify right side
    195.27x = 36,761.29
  5. Step 5: Solve for x
    x = 36,761.29/195.27
  6. Step 6: Final answer
    x = 188.26

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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.