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Finding the Fourth Proportional to 361.65, 543.08 and 197.03

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Solution

The fourth proportional to 361.65, 543.08 and 197.03 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 543.08 = 197.03 : x
  2. Step 2: Convert to fraction form
    361.65/543.08 = 197.03/x
  3. Step 3: Cross multiply
    361.65x = 543.08 × 197.03
  4. Step 4: Simplify right side
    361.65x = 107,000.83
  5. Step 5: Solve for x
    x = 107,000.83/361.65
  6. Step 6: Final answer
    x = 295.87

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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.