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Finding the Fourth Proportional to 195.82, 270 and 160.74

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Solution

The fourth proportional to 195.82, 270 and 160.74 is: 221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 270 = 160.74 : x
  2. Step 2: Convert to fraction form
    195.82/270 = 160.74/x
  3. Step 3: Cross multiply
    195.82x = 270 × 160.74
  4. Step 4: Simplify right side
    195.82x = 43,399.80
  5. Step 5: Solve for x
    x = 43,399.80/195.82
  6. Step 6: Final answer
    x = 221.63

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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.