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Finding the Fourth Proportional to 198, 271.44 and 183.36

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Solution

The fourth proportional to 198, 271.44 and 183.36 is: 251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 271.44 = 183.36 : x
  2. Step 2: Convert to fraction form
    198/271.44 = 183.36/x
  3. Step 3: Cross multiply
    198x = 271.44 × 183.36
  4. Step 4: Simplify right side
    198x = 49,771.24
  5. Step 5: Solve for x
    x = 49,771.24/198
  6. Step 6: Final answer
    x = 251.37

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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.