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Finding the Fourth Proportional to 195.95, 293.09 and 181.37

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Solution

The fourth proportional to 195.95, 293.09 and 181.37 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.95 : 293.09 = 181.37 : x
  2. Step 2: Convert to fraction form
    195.95/293.09 = 181.37/x
  3. Step 3: Cross multiply
    195.95x = 293.09 × 181.37
  4. Step 4: Simplify right side
    195.95x = 53,157.56
  5. Step 5: Solve for x
    x = 53,157.56/195.95
  6. Step 6: Final answer
    x = 271.28

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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.