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Finding the Fourth Proportional to 208.15, 311.88 and 110.51

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Solution

The fourth proportional to 208.15, 311.88 and 110.51 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 311.88 = 110.51 : x
  2. Step 2: Convert to fraction form
    208.15/311.88 = 110.51/x
  3. Step 3: Cross multiply
    208.15x = 311.88 × 110.51
  4. Step 4: Simplify right side
    208.15x = 34,467.64
  5. Step 5: Solve for x
    x = 34,467.64/208.15
  6. Step 6: Final answer
    x = 165.59

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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.