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Finding the Fourth Proportional to 195.98, 293.72 and 109.27

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Solution

The fourth proportional to 195.98, 293.72 and 109.27 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 293.72 = 109.27 : x
  2. Step 2: Convert to fraction form
    195.98/293.72 = 109.27/x
  3. Step 3: Cross multiply
    195.98x = 293.72 × 109.27
  4. Step 4: Simplify right side
    195.98x = 32,094.24
  5. Step 5: Solve for x
    x = 32,094.24/195.98
  6. Step 6: Final answer
    x = 163.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.