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Finding the Fourth Proportional to 208.28, 312.46 and 110.83

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Solution

The fourth proportional to 208.28, 312.46 and 110.83 is: 166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 312.46 = 110.83 : x
  2. Step 2: Convert to fraction form
    208.28/312.46 = 110.83/x
  3. Step 3: Cross multiply
    208.28x = 312.46 × 110.83
  4. Step 4: Simplify right side
    208.28x = 34,629.89
  5. Step 5: Solve for x
    x = 34,629.89/208.28
  6. Step 6: Final answer
    x = 166.26

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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.