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Finding the Fourth Proportional to 361.98, 543.08 and 215.70

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Solution

The fourth proportional to 361.98, 543.08 and 215.70 is: 323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 543.08 = 215.70 : x
  2. Step 2: Convert to fraction form
    361.98/543.08 = 215.70/x
  3. Step 3: Cross multiply
    361.98x = 543.08 × 215.70
  4. Step 4: Simplify right side
    361.98x = 117,141.54
  5. Step 5: Solve for x
    x = 117,141.54/361.98
  6. Step 6: Final answer
    x = 323.62

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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.