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Finding the Fourth Proportional to 338.43, 466.98 and 198.53

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Solution

The fourth proportional to 338.43, 466.98 and 198.53 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.43 : 466.98 = 198.53 : x
  2. Step 2: Convert to fraction form
    338.43/466.98 = 198.53/x
  3. Step 3: Cross multiply
    338.43x = 466.98 × 198.53
  4. Step 4: Simplify right side
    338.43x = 92,707.20
  5. Step 5: Solve for x
    x = 92,707.20/338.43
  6. Step 6: Final answer
    x = 273.93

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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.