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Finding the Fourth Proportional to 208.22, 312.71 and 110.79

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Solution

The fourth proportional to 208.22, 312.71 and 110.79 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 312.71 = 110.79 : x
  2. Step 2: Convert to fraction form
    208.22/312.71 = 110.79/x
  3. Step 3: Cross multiply
    208.22x = 312.71 × 110.79
  4. Step 4: Simplify right side
    208.22x = 34,644.59
  5. Step 5: Solve for x
    x = 34,644.59/208.22
  6. Step 6: Final answer
    x = 166.39

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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.