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Finding the Fourth Proportional to 361.97, 543.22 and 145.70

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Solution

The fourth proportional to 361.97, 543.22 and 145.70 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 543.22 = 145.70 : x
  2. Step 2: Convert to fraction form
    361.97/543.22 = 145.70/x
  3. Step 3: Cross multiply
    361.97x = 543.22 × 145.70
  4. Step 4: Simplify right side
    361.97x = 79,144.07
  5. Step 5: Solve for x
    x = 79,144.07/361.97
  6. Step 6: Final answer
    x = 218.65

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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.