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Finding the Fourth Proportional to 195.16, 269.32 and 107.84

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Solution

The fourth proportional to 195.16, 269.32 and 107.84 is: 148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.16 : 269.32 = 107.84 : x
  2. Step 2: Convert to fraction form
    195.16/269.32 = 107.84/x
  3. Step 3: Cross multiply
    195.16x = 269.32 × 107.84
  4. Step 4: Simplify right side
    195.16x = 29,043.47
  5. Step 5: Solve for x
    x = 29,043.47/195.16
  6. Step 6: Final answer
    x = 148.82

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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.