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Finding the Fourth Proportional to 195.44, 268.40 and 167.80

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Solution

The fourth proportional to 195.44, 268.40 and 167.80 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 268.40 = 167.80 : x
  2. Step 2: Convert to fraction form
    195.44/268.40 = 167.80/x
  3. Step 3: Cross multiply
    195.44x = 268.40 × 167.80
  4. Step 4: Simplify right side
    195.44x = 45,037.52
  5. Step 5: Solve for x
    x = 45,037.52/195.44
  6. Step 6: Final answer
    x = 230.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.