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Finding the Fourth Proportional to 195.86, 270.26 and 108.53

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Solution

The fourth proportional to 195.86, 270.26 and 108.53 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.26 = 108.53 : x
  2. Step 2: Convert to fraction form
    195.86/270.26 = 108.53/x
  3. Step 3: Cross multiply
    195.86x = 270.26 × 108.53
  4. Step 4: Simplify right side
    195.86x = 29,329.42
  5. Step 5: Solve for x
    x = 29,329.42/195.86
  6. Step 6: Final answer
    x = 149.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.