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Finding the Fourth Proportional to 208.23, 311.86 and 105.26

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Solution

The fourth proportional to 208.23, 311.86 and 105.26 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 311.86 = 105.26 : x
  2. Step 2: Convert to fraction form
    208.23/311.86 = 105.26/x
  3. Step 3: Cross multiply
    208.23x = 311.86 × 105.26
  4. Step 4: Simplify right side
    208.23x = 32,826.90
  5. Step 5: Solve for x
    x = 32,826.90/208.23
  6. Step 6: Final answer
    x = 157.65

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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.