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Finding the Fourth Proportional to 195.86, 293.59 and 109.23

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Solution

The fourth proportional to 195.86, 293.59 and 109.23 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 293.59 = 109.23 : x
  2. Step 2: Convert to fraction form
    195.86/293.59 = 109.23/x
  3. Step 3: Cross multiply
    195.86x = 293.59 × 109.23
  4. Step 4: Simplify right side
    195.86x = 32,068.84
  5. Step 5: Solve for x
    x = 32,068.84/195.86
  6. Step 6: Final answer
    x = 163.73

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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.