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Finding the Fourth Proportional to 195.18, 269.35 and 107.85

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Solution

The fourth proportional to 195.18, 269.35 and 107.85 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 269.35 = 107.85 : x
  2. Step 2: Convert to fraction form
    195.18/269.35 = 107.85/x
  3. Step 3: Cross multiply
    195.18x = 269.35 × 107.85
  4. Step 4: Simplify right side
    195.18x = 29,050.34
  5. Step 5: Solve for x
    x = 29,050.34/195.18
  6. Step 6: Final answer
    x = 148.84

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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.