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Finding the Fourth Proportional to 195.99, 270.41 and 117.31

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Solution

The fourth proportional to 195.99, 270.41 and 117.31 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.99 : 270.41 = 117.31 : x
  2. Step 2: Convert to fraction form
    195.99/270.41 = 117.31/x
  3. Step 3: Cross multiply
    195.99x = 270.41 × 117.31
  4. Step 4: Simplify right side
    195.99x = 31,721.80
  5. Step 5: Solve for x
    x = 31,721.80/195.99
  6. Step 6: Final answer
    x = 161.85

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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.