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Finding the Fourth Proportional to 208.24, 311.96 and 111.76

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Solution

The fourth proportional to 208.24, 311.96 and 111.76 is: 167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 311.96 = 111.76 : x
  2. Step 2: Convert to fraction form
    208.24/311.96 = 111.76/x
  3. Step 3: Cross multiply
    208.24x = 311.96 × 111.76
  4. Step 4: Simplify right side
    208.24x = 34,864.65
  5. Step 5: Solve for x
    x = 34,864.65/208.24
  6. Step 6: Final answer
    x = 167.43

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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.