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Finding the Fourth Proportional to 206.23, 308.67 and 165.37

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Solution

The fourth proportional to 206.23, 308.67 and 165.37 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 308.67 = 165.37 : x
  2. Step 2: Convert to fraction form
    206.23/308.67 = 165.37/x
  3. Step 3: Cross multiply
    206.23x = 308.67 × 165.37
  4. Step 4: Simplify right side
    206.23x = 51,044.76
  5. Step 5: Solve for x
    x = 51,044.76/206.23
  6. Step 6: Final answer
    x = 247.51

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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.