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Finding the Fourth Proportional to 195.26, 292.94 and 114.15

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Solution

The fourth proportional to 195.26, 292.94 and 114.15 is: 171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.26 : 292.94 = 114.15 : x
  2. Step 2: Convert to fraction form
    195.26/292.94 = 114.15/x
  3. Step 3: Cross multiply
    195.26x = 292.94 × 114.15
  4. Step 4: Simplify right side
    195.26x = 33,438.53
  5. Step 5: Solve for x
    x = 33,438.53/195.26
  6. Step 6: Final answer
    x = 171.26

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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.