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Finding the Fourth Proportional to 195.86, 270.26 and 130.26

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Solution

The fourth proportional to 195.86, 270.26 and 130.26 is: 179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.26 = 130.26 : x
  2. Step 2: Convert to fraction form
    195.86/270.26 = 130.26/x
  3. Step 3: Cross multiply
    195.86x = 270.26 × 130.26
  4. Step 4: Simplify right side
    195.86x = 35,204.07
  5. Step 5: Solve for x
    x = 35,204.07/195.86
  6. Step 6: Final answer
    x = 179.74

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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.