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Finding the Fourth Proportional to 361.66, 499.06 and 206.41

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Solution

The fourth proportional to 361.66, 499.06 and 206.41 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.66 : 499.06 = 206.41 : x
  2. Step 2: Convert to fraction form
    361.66/499.06 = 206.41/x
  3. Step 3: Cross multiply
    361.66x = 499.06 × 206.41
  4. Step 4: Simplify right side
    361.66x = 103,010.97
  5. Step 5: Solve for x
    x = 103,010.97/361.66
  6. Step 6: Final answer
    x = 284.83

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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.