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Finding the Fourth Proportional to 361.62, 499.09 and 206.42

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Solution

The fourth proportional to 361.62, 499.09 and 206.42 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 499.09 = 206.42 : x
  2. Step 2: Convert to fraction form
    361.62/499.09 = 206.42/x
  3. Step 3: Cross multiply
    361.62x = 499.09 × 206.42
  4. Step 4: Simplify right side
    361.62x = 103,022.16
  5. Step 5: Solve for x
    x = 103,022.16/361.62
  6. Step 6: Final answer
    x = 284.89

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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.