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Finding the Fourth Proportional to 338.95, 467.84 and 204.46

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Solution

The fourth proportional to 338.95, 467.84 and 204.46 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.95 : 467.84 = 204.46 : x
  2. Step 2: Convert to fraction form
    338.95/467.84 = 204.46/x
  3. Step 3: Cross multiply
    338.95x = 467.84 × 204.46
  4. Step 4: Simplify right side
    338.95x = 95,653.91
  5. Step 5: Solve for x
    x = 95,653.91/338.95
  6. Step 6: Final answer
    x = 282.21

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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.