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Finding the Fourth Proportional to 195.96, 270.63 and 166.80

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Solution

The fourth proportional to 195.96, 270.63 and 166.80 is: 230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 270.63 = 166.80 : x
  2. Step 2: Convert to fraction form
    195.96/270.63 = 166.80/x
  3. Step 3: Cross multiply
    195.96x = 270.63 × 166.80
  4. Step 4: Simplify right side
    195.96x = 45,141.08
  5. Step 5: Solve for x
    x = 45,141.08/195.96
  6. Step 6: Final answer
    x = 230.36

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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.