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Finding the Fourth Proportional to 271.94, 375.23 and 198.28

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Solution

The fourth proportional to 271.94, 375.23 and 198.28 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 375.23 = 198.28 : x
  2. Step 2: Convert to fraction form
    271.94/375.23 = 198.28/x
  3. Step 3: Cross multiply
    271.94x = 375.23 × 198.28
  4. Step 4: Simplify right side
    271.94x = 74,400.60
  5. Step 5: Solve for x
    x = 74,400.60/271.94
  6. Step 6: Final answer
    x = 273.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.