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Finding the Fourth Proportional to 361.23, 540.98 and 206.69

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Solution

The fourth proportional to 361.23, 540.98 and 206.69 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.23 : 540.98 = 206.69 : x
  2. Step 2: Convert to fraction form
    361.23/540.98 = 206.69/x
  3. Step 3: Cross multiply
    361.23x = 540.98 × 206.69
  4. Step 4: Simplify right side
    361.23x = 111,815.16
  5. Step 5: Solve for x
    x = 111,815.16/361.23
  6. Step 6: Final answer
    x = 309.54

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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.