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Finding the Fourth Proportional to 198.43, 273.88 and 128.57

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Solution

The fourth proportional to 198.43, 273.88 and 128.57 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.43 : 273.88 = 128.57 : x
  2. Step 2: Convert to fraction form
    198.43/273.88 = 128.57/x
  3. Step 3: Cross multiply
    198.43x = 273.88 × 128.57
  4. Step 4: Simplify right side
    198.43x = 35,211.06
  5. Step 5: Solve for x
    x = 35,211.06/198.43
  6. Step 6: Final answer
    x = 177.45

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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.