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Finding the Fourth Proportional to 195.22, 269.40 and 107.89

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Solution

The fourth proportional to 195.22, 269.40 and 107.89 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 269.40 = 107.89 : x
  2. Step 2: Convert to fraction form
    195.22/269.40 = 107.89/x
  3. Step 3: Cross multiply
    195.22x = 269.40 × 107.89
  4. Step 4: Simplify right side
    195.22x = 29,065.57
  5. Step 5: Solve for x
    x = 29,065.57/195.22
  6. Step 6: Final answer
    x = 148.89

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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.