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Finding the Fourth Proportional to 338.32, 466.82 and 196.52

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Solution

The fourth proportional to 338.32, 466.82 and 196.52 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 466.82 = 196.52 : x
  2. Step 2: Convert to fraction form
    338.32/466.82 = 196.52/x
  3. Step 3: Cross multiply
    338.32x = 466.82 × 196.52
  4. Step 4: Simplify right side
    338.32x = 91,739.47
  5. Step 5: Solve for x
    x = 91,739.47/338.32
  6. Step 6: Final answer
    x = 271.16

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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.