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Finding the Fourth Proportional to 208, 311.82 and 146.80

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Solution

The fourth proportional to 208, 311.82 and 146.80 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 311.82 = 146.80 : x
  2. Step 2: Convert to fraction form
    208/311.82 = 146.80/x
  3. Step 3: Cross multiply
    208x = 311.82 × 146.80
  4. Step 4: Simplify right side
    208x = 45,775.18
  5. Step 5: Solve for x
    x = 45,775.18/208
  6. Step 6: Final answer
    x = 220.07

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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.