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Finding the Fourth Proportional to 195.82, 293.83 and 118.87

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Solution

The fourth proportional to 195.82, 293.83 and 118.87 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 293.83 = 118.87 : x
  2. Step 2: Convert to fraction form
    195.82/293.83 = 118.87/x
  3. Step 3: Cross multiply
    195.82x = 293.83 × 118.87
  4. Step 4: Simplify right side
    195.82x = 34,926.54
  5. Step 5: Solve for x
    x = 34,926.54/195.82
  6. Step 6: Final answer
    x = 178.36

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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.