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Finding the Fourth Proportional to 195.28, 269.42 and 117.68

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Solution

The fourth proportional to 195.28, 269.42 and 117.68 is: 162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 269.42 = 117.68 : x
  2. Step 2: Convert to fraction form
    195.28/269.42 = 117.68/x
  3. Step 3: Cross multiply
    195.28x = 269.42 × 117.68
  4. Step 4: Simplify right side
    195.28x = 31,705.35
  5. Step 5: Solve for x
    x = 31,705.35/195.28
  6. Step 6: Final answer
    x = 162.36

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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.