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Finding the Fourth Proportional to 361.96, 499.54 and 206.72

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Solution

The fourth proportional to 361.96, 499.54 and 206.72 is: 285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.96 : 499.54 = 206.72 : x
  2. Step 2: Convert to fraction form
    361.96/499.54 = 206.72/x
  3. Step 3: Cross multiply
    361.96x = 499.54 × 206.72
  4. Step 4: Simplify right side
    361.96x = 103,264.91
  5. Step 5: Solve for x
    x = 103,264.91/361.96
  6. Step 6: Final answer
    x = 285.29

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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.