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Finding the Fourth Proportional to 361.61, 499.01 and 206.36

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Solution

The fourth proportional to 361.61, 499.01 and 206.36 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.61 : 499.01 = 206.36 : x
  2. Step 2: Convert to fraction form
    361.61/499.01 = 206.36/x
  3. Step 3: Cross multiply
    361.61x = 499.01 × 206.36
  4. Step 4: Simplify right side
    361.61x = 102,972.18
  5. Step 5: Solve for x
    x = 102,972.18/361.61
  6. Step 6: Final answer
    x = 284.76

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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.