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Finding the Fourth Proportional to 195.82, 270.10 and 118.18

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Solution

The fourth proportional to 195.82, 270.10 and 118.18 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 270.10 = 118.18 : x
  2. Step 2: Convert to fraction form
    195.82/270.10 = 118.18/x
  3. Step 3: Cross multiply
    195.82x = 270.10 × 118.18
  4. Step 4: Simplify right side
    195.82x = 31,920.42
  5. Step 5: Solve for x
    x = 31,920.42/195.82
  6. Step 6: Final answer
    x = 163.01

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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.