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Finding the Fourth Proportional to 338.09, 466.61 and 198.26

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Solution

The fourth proportional to 338.09, 466.61 and 198.26 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 466.61 = 198.26 : x
  2. Step 2: Convert to fraction form
    338.09/466.61 = 198.26/x
  3. Step 3: Cross multiply
    338.09x = 466.61 × 198.26
  4. Step 4: Simplify right side
    338.09x = 92,510.77
  5. Step 5: Solve for x
    x = 92,510.77/338.09
  6. Step 6: Final answer
    x = 273.63

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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.