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Finding the Fourth Proportional to 338.68, 467.28 and 205.80

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Solution

The fourth proportional to 338.68, 467.28 and 205.80 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 467.28 = 205.80 : x
  2. Step 2: Convert to fraction form
    338.68/467.28 = 205.80/x
  3. Step 3: Cross multiply
    338.68x = 467.28 × 205.80
  4. Step 4: Simplify right side
    338.68x = 96,166.22
  5. Step 5: Solve for x
    x = 96,166.22/338.68
  6. Step 6: Final answer
    x = 283.94

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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.