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Finding the Fourth Proportional to 361.76, 499.24 and 206.56

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Solution

The fourth proportional to 361.76, 499.24 and 206.56 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 499.24 = 206.56 : x
  2. Step 2: Convert to fraction form
    361.76/499.24 = 206.56/x
  3. Step 3: Cross multiply
    361.76x = 499.24 × 206.56
  4. Step 4: Simplify right side
    361.76x = 103,123.01
  5. Step 5: Solve for x
    x = 103,123.01/361.76
  6. Step 6: Final answer
    x = 285.06

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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.