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Finding the Fourth Proportional to 206.94, 308.91 and 165.96

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Solution

The fourth proportional to 206.94, 308.91 and 165.96 is: 247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 308.91 = 165.96 : x
  2. Step 2: Convert to fraction form
    206.94/308.91 = 165.96/x
  3. Step 3: Cross multiply
    206.94x = 308.91 × 165.96
  4. Step 4: Simplify right side
    206.94x = 51,266.70
  5. Step 5: Solve for x
    x = 51,266.70/206.94
  6. Step 6: Final answer
    x = 247.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.