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Finding the Fourth Proportional to 195.46, 269.76 and 108.16

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Solution

The fourth proportional to 195.46, 269.76 and 108.16 is: 149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.46 : 269.76 = 108.16 : x
  2. Step 2: Convert to fraction form
    195.46/269.76 = 108.16/x
  3. Step 3: Cross multiply
    195.46x = 269.76 × 108.16
  4. Step 4: Simplify right side
    195.46x = 29,177.24
  5. Step 5: Solve for x
    x = 29,177.24/195.46
  6. Step 6: Final answer
    x = 149.27

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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.