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Finding the Fourth Proportional to 361.69, 499.14 and 221.81

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Solution

The fourth proportional to 361.69, 499.14 and 221.81 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 499.14 = 221.81 : x
  2. Step 2: Convert to fraction form
    361.69/499.14 = 221.81/x
  3. Step 3: Cross multiply
    361.69x = 499.14 × 221.81
  4. Step 4: Simplify right side
    361.69x = 110,711.75
  5. Step 5: Solve for x
    x = 110,711.75/361.69
  6. Step 6: Final answer
    x = 306.10

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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.