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Finding the Fourth Proportional to 361.98, 543.06 and 199.44

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Solution

The fourth proportional to 361.98, 543.06 and 199.44 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 543.06 = 199.44 : x
  2. Step 2: Convert to fraction form
    361.98/543.06 = 199.44/x
  3. Step 3: Cross multiply
    361.98x = 543.06 × 199.44
  4. Step 4: Simplify right side
    361.98x = 108,307.89
  5. Step 5: Solve for x
    x = 108,307.89/361.98
  6. Step 6: Final answer
    x = 299.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.