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Finding the Fourth Proportional to 195.67, 293.19 and 114.31

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Solution

The fourth proportional to 195.67, 293.19 and 114.31 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 293.19 = 114.31 : x
  2. Step 2: Convert to fraction form
    195.67/293.19 = 114.31/x
  3. Step 3: Cross multiply
    195.67x = 293.19 × 114.31
  4. Step 4: Simplify right side
    195.67x = 33,514.55
  5. Step 5: Solve for x
    x = 33,514.55/195.67
  6. Step 6: Final answer
    x = 171.28

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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.