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Finding the Fourth Proportional to 208.10, 311.67 and 105.05

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Solution

The fourth proportional to 208.10, 311.67 and 105.05 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.10 : 311.67 = 105.05 : x
  2. Step 2: Convert to fraction form
    208.10/311.67 = 105.05/x
  3. Step 3: Cross multiply
    208.10x = 311.67 × 105.05
  4. Step 4: Simplify right side
    208.10x = 32,741.71
  5. Step 5: Solve for x
    x = 32,741.71/208.10
  6. Step 6: Final answer
    x = 157.33

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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.