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Finding the Fourth Proportional to 208, 311.76 and 116.65

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Solution

The fourth proportional to 208, 311.76 and 116.65 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 311.76 = 116.65 : x
  2. Step 2: Convert to fraction form
    208/311.76 = 116.65/x
  3. Step 3: Cross multiply
    208x = 311.76 × 116.65
  4. Step 4: Simplify right side
    208x = 36,366.80
  5. Step 5: Solve for x
    x = 36,366.80/208
  6. Step 6: Final answer
    x = 174.84

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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.