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Finding the Fourth Proportional to 208.45, 312.12 and 110.75

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Solution

The fourth proportional to 208.45, 312.12 and 110.75 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 312.12 = 110.75 : x
  2. Step 2: Convert to fraction form
    208.45/312.12 = 110.75/x
  3. Step 3: Cross multiply
    208.45x = 312.12 × 110.75
  4. Step 4: Simplify right side
    208.45x = 34,567.49
  5. Step 5: Solve for x
    x = 34,567.49/208.45
  6. Step 6: Final answer
    x = 165.83

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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.