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Finding the Fourth Proportional to 198.78, 274.23 and 128.82

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Solution

The fourth proportional to 198.78, 274.23 and 128.82 is: 177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 274.23 = 128.82 : x
  2. Step 2: Convert to fraction form
    198.78/274.23 = 128.82/x
  3. Step 3: Cross multiply
    198.78x = 274.23 × 128.82
  4. Step 4: Simplify right side
    198.78x = 35,326.31
  5. Step 5: Solve for x
    x = 35,326.31/198.78
  6. Step 6: Final answer
    x = 177.72

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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.