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Finding the Fourth Proportional to 195.31, 293.42 and 180.28

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Solution

The fourth proportional to 195.31, 293.42 and 180.28 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.31 : 293.42 = 180.28 : x
  2. Step 2: Convert to fraction form
    195.31/293.42 = 180.28/x
  3. Step 3: Cross multiply
    195.31x = 293.42 × 180.28
  4. Step 4: Simplify right side
    195.31x = 52,896.92
  5. Step 5: Solve for x
    x = 52,896.92/195.31
  6. Step 6: Final answer
    x = 270.83

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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.