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Finding the Fourth Proportional to 361.83, 499.22 and 206.58

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Solution

The fourth proportional to 361.83, 499.22 and 206.58 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.83 : 499.22 = 206.58 : x
  2. Step 2: Convert to fraction form
    361.83/499.22 = 206.58/x
  3. Step 3: Cross multiply
    361.83x = 499.22 × 206.58
  4. Step 4: Simplify right side
    361.83x = 103,127.83
  5. Step 5: Solve for x
    x = 103,127.83/361.83
  6. Step 6: Final answer
    x = 285.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.