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Finding the Fourth Proportional to 336.73, 464.66 and 205.72

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Solution

The fourth proportional to 336.73, 464.66 and 205.72 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.73 : 464.66 = 205.72 : x
  2. Step 2: Convert to fraction form
    336.73/464.66 = 205.72/x
  3. Step 3: Cross multiply
    336.73x = 464.66 × 205.72
  4. Step 4: Simplify right side
    336.73x = 95,589.86
  5. Step 5: Solve for x
    x = 95,589.86/336.73
  6. Step 6: Final answer
    x = 283.88

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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.