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Finding the Fourth Proportional to 195.44, 270.02 and 166.25

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Solution

The fourth proportional to 195.44, 270.02 and 166.25 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 270.02 = 166.25 : x
  2. Step 2: Convert to fraction form
    195.44/270.02 = 166.25/x
  3. Step 3: Cross multiply
    195.44x = 270.02 × 166.25
  4. Step 4: Simplify right side
    195.44x = 44,888.64
  5. Step 5: Solve for x
    x = 44,888.64/195.44
  6. Step 6: Final answer
    x = 229.68

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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.