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Finding the Fourth Proportional to 195.03, 269.15 and 107.71

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Solution

The fourth proportional to 195.03, 269.15 and 107.71 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.03 : 269.15 = 107.71 : x
  2. Step 2: Convert to fraction form
    195.03/269.15 = 107.71/x
  3. Step 3: Cross multiply
    195.03x = 269.15 × 107.71
  4. Step 4: Simplify right side
    195.03x = 28,990.15
  5. Step 5: Solve for x
    x = 28,990.15/195.03
  6. Step 6: Final answer
    x = 148.64

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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.