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Finding the Fourth Proportional to 208.00, 311.72 and 116.67

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Solution

The fourth proportional to 208.00, 311.72 and 116.67 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.00 : 311.72 = 116.67 : x
  2. Step 2: Convert to fraction form
    208.00/311.72 = 116.67/x
  3. Step 3: Cross multiply
    208.00x = 311.72 × 116.67
  4. Step 4: Simplify right side
    208.00x = 36,368.37
  5. Step 5: Solve for x
    x = 36,368.37/208.00
  6. Step 6: Final answer
    x = 174.85

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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.