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Finding the Fourth Proportional to 192.06, 287.77 and 82.28

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Solution

The fourth proportional to 192.06, 287.77 and 82.28 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 287.77 = 82.28 : x
  2. Step 2: Convert to fraction form
    192.06/287.77 = 82.28/x
  3. Step 3: Cross multiply
    192.06x = 287.77 × 82.28
  4. Step 4: Simplify right side
    192.06x = 23,677.72
  5. Step 5: Solve for x
    x = 23,677.72/192.06
  6. Step 6: Final answer
    x = 123.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.