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Finding the Fourth Proportional to 208.08, 311.96 and 94

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Solution

The fourth proportional to 208.08, 311.96 and 94 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 311.96 = 94 : x
  2. Step 2: Convert to fraction form
    208.08/311.96 = 94/x
  3. Step 3: Cross multiply
    208.08x = 311.96 × 94
  4. Step 4: Simplify right side
    208.08x = 29,324.24
  5. Step 5: Solve for x
    x = 29,324.24/208.08
  6. Step 6: Final answer
    x = 140.93

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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.