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Finding the Fourth Proportional to 206.41, 309.46 and 103.64

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Solution

The fourth proportional to 206.41, 309.46 and 103.64 is: 155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.41 : 309.46 = 103.64 : x
  2. Step 2: Convert to fraction form
    206.41/309.46 = 103.64/x
  3. Step 3: Cross multiply
    206.41x = 309.46 × 103.64
  4. Step 4: Simplify right side
    206.41x = 32,072.43
  5. Step 5: Solve for x
    x = 32,072.43/206.41
  6. Step 6: Final answer
    x = 155.38

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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.