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Finding the Fourth Proportional to 195.62, 293.34 and 114.49

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Solution

The fourth proportional to 195.62, 293.34 and 114.49 is: 171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 293.34 = 114.49 : x
  2. Step 2: Convert to fraction form
    195.62/293.34 = 114.49/x
  3. Step 3: Cross multiply
    195.62x = 293.34 × 114.49
  4. Step 4: Simplify right side
    195.62x = 33,584.50
  5. Step 5: Solve for x
    x = 33,584.50/195.62
  6. Step 6: Final answer
    x = 171.68

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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.