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Finding the Fourth Proportional to 361.69, 499.14 and 206.44

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Solution

The fourth proportional to 361.69, 499.14 and 206.44 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 499.14 = 206.44 : x
  2. Step 2: Convert to fraction form
    361.69/499.14 = 206.44/x
  3. Step 3: Cross multiply
    361.69x = 499.14 × 206.44
  4. Step 4: Simplify right side
    361.69x = 103,041.21
  5. Step 5: Solve for x
    x = 103,041.21/361.69
  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.