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Finding the Fourth Proportional to 198.18, 273.36 and 128.22

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Solution

The fourth proportional to 198.18, 273.36 and 128.22 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 273.36 = 128.22 : x
  2. Step 2: Convert to fraction form
    198.18/273.36 = 128.22/x
  3. Step 3: Cross multiply
    198.18x = 273.36 × 128.22
  4. Step 4: Simplify right side
    198.18x = 35,050.22
  5. Step 5: Solve for x
    x = 35,050.22/198.18
  6. Step 6: Final answer
    x = 176.86

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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.