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Finding the Fourth Proportional to 195.26, 293.56 and 104.14

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Solution

The fourth proportional to 195.26, 293.56 and 104.14 is: 156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.26 : 293.56 = 104.14 : x
  2. Step 2: Convert to fraction form
    195.26/293.56 = 104.14/x
  3. Step 3: Cross multiply
    195.26x = 293.56 × 104.14
  4. Step 4: Simplify right side
    195.26x = 30,571.34
  5. Step 5: Solve for x
    x = 30,571.34/195.26
  6. Step 6: Final answer
    x = 156.57

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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.