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Finding the Fourth Proportional to 361.85, 499.35 and 202.33

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Solution

The fourth proportional to 361.85, 499.35 and 202.33 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 499.35 = 202.33 : x
  2. Step 2: Convert to fraction form
    361.85/499.35 = 202.33/x
  3. Step 3: Cross multiply
    361.85x = 499.35 × 202.33
  4. Step 4: Simplify right side
    361.85x = 101,033.49
  5. Step 5: Solve for x
    x = 101,033.49/361.85
  6. Step 6: Final answer
    x = 279.21

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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.