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Finding the Fourth Proportional to 198.75, 273.78 and 189.03

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Solution

The fourth proportional to 198.75, 273.78 and 189.03 is: 260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 273.78 = 189.03 : x
  2. Step 2: Convert to fraction form
    198.75/273.78 = 189.03/x
  3. Step 3: Cross multiply
    198.75x = 273.78 × 189.03
  4. Step 4: Simplify right side
    198.75x = 51,752.63
  5. Step 5: Solve for x
    x = 51,752.63/198.75
  6. Step 6: Final answer
    x = 260.39

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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.