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Finding the Fourth Proportional to 183.98, 275.77 and 68.33

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Solution

The fourth proportional to 183.98, 275.77 and 68.33 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 275.77 = 68.33 : x
  2. Step 2: Convert to fraction form
    183.98/275.77 = 68.33/x
  3. Step 3: Cross multiply
    183.98x = 275.77 × 68.33
  4. Step 4: Simplify right side
    183.98x = 18,843.36
  5. Step 5: Solve for x
    x = 18,843.36/183.98
  6. Step 6: Final answer
    x = 102.42

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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.