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Finding the Fourth Proportional to 206.92, 309.80 and 110.52

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Solution

The fourth proportional to 206.92, 309.80 and 110.52 is: 165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 309.80 = 110.52 : x
  2. Step 2: Convert to fraction form
    206.92/309.80 = 110.52/x
  3. Step 3: Cross multiply
    206.92x = 309.80 × 110.52
  4. Step 4: Simplify right side
    206.92x = 34,239.10
  5. Step 5: Solve for x
    x = 34,239.10/206.92
  6. Step 6: Final answer
    x = 165.47

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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.