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Finding the Fourth Proportional to 338.26, 466.84 and 205.48

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Solution

The fourth proportional to 338.26, 466.84 and 205.48 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.26 : 466.84 = 205.48 : x
  2. Step 2: Convert to fraction form
    338.26/466.84 = 205.48/x
  3. Step 3: Cross multiply
    338.26x = 466.84 × 205.48
  4. Step 4: Simplify right side
    338.26x = 95,924.50
  5. Step 5: Solve for x
    x = 95,924.50/338.26
  6. Step 6: Final answer
    x = 283.58

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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.