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Finding the Fourth Proportional to 337.94, 466.31 and 198.08

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Solution

The fourth proportional to 337.94, 466.31 and 198.08 is: 273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 466.31 = 198.08 : x
  2. Step 2: Convert to fraction form
    337.94/466.31 = 198.08/x
  3. Step 3: Cross multiply
    337.94x = 466.31 × 198.08
  4. Step 4: Simplify right side
    337.94x = 92,363.36
  5. Step 5: Solve for x
    x = 92,363.36/337.94
  6. Step 6: Final answer
    x = 273.32

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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.