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Finding the Fourth Proportional to 208.12, 311.26 and 188.98

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Solution

The fourth proportional to 208.12, 311.26 and 188.98 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.12 : 311.26 = 188.98 : x
  2. Step 2: Convert to fraction form
    208.12/311.26 = 188.98/x
  3. Step 3: Cross multiply
    208.12x = 311.26 × 188.98
  4. Step 4: Simplify right side
    208.12x = 58,821.91
  5. Step 5: Solve for x
    x = 58,821.91/208.12
  6. Step 6: Final answer
    x = 282.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.