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Finding the Fourth Proportional to 192.67, 287.48 and 181

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Solution

The fourth proportional to 192.67, 287.48 and 181 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.67 : 287.48 = 181 : x
  2. Step 2: Convert to fraction form
    192.67/287.48 = 181/x
  3. Step 3: Cross multiply
    192.67x = 287.48 × 181
  4. Step 4: Simplify right side
    192.67x = 52,033.88
  5. Step 5: Solve for x
    x = 52,033.88/192.67
  6. Step 6: Final answer
    x = 270.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.