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Finding the Fourth Proportional to 195.95, 293.90 and 109.46

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Solution

The fourth proportional to 195.95, 293.90 and 109.46 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.95 : 293.90 = 109.46 : x
  2. Step 2: Convert to fraction form
    195.95/293.90 = 109.46/x
  3. Step 3: Cross multiply
    195.95x = 293.90 × 109.46
  4. Step 4: Simplify right side
    195.95x = 32,170.48
  5. Step 5: Solve for x
    x = 32,170.48/195.95
  6. Step 6: Final answer
    x = 164.17

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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.