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Finding the Fourth Proportional to 338.33, 466.90 and 190.97

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Solution

The fourth proportional to 338.33, 466.90 and 190.97 is: 263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.33 : 466.90 = 190.97 : x
  2. Step 2: Convert to fraction form
    338.33/466.90 = 190.97/x
  3. Step 3: Cross multiply
    338.33x = 466.90 × 190.97
  4. Step 4: Simplify right side
    338.33x = 89,164.58
  5. Step 5: Solve for x
    x = 89,164.58/338.33
  6. Step 6: Final answer
    x = 263.55

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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.