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Finding the Fourth Proportional to 361.94, 499.47 and 206.69

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Solution

The fourth proportional to 361.94, 499.47 and 206.69 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 499.47 = 206.69 : x
  2. Step 2: Convert to fraction form
    361.94/499.47 = 206.69/x
  3. Step 3: Cross multiply
    361.94x = 499.47 × 206.69
  4. Step 4: Simplify right side
    361.94x = 103,235.45
  5. Step 5: Solve for x
    x = 103,235.45/361.94
  6. Step 6: Final answer
    x = 285.23

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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.