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Finding the Fourth Proportional to 208.44, 312.80 and 105.76

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Solution

The fourth proportional to 208.44, 312.80 and 105.76 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 312.80 = 105.76 : x
  2. Step 2: Convert to fraction form
    208.44/312.80 = 105.76/x
  3. Step 3: Cross multiply
    208.44x = 312.80 × 105.76
  4. Step 4: Simplify right side
    208.44x = 33,081.73
  5. Step 5: Solve for x
    x = 33,081.73/208.44
  6. Step 6: Final answer
    x = 158.71

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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.