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Finding the Fourth Proportional to 208.46, 311.78 and 170.19

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Solution

The fourth proportional to 208.46, 311.78 and 170.19 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.46 : 311.78 = 170.19 : x
  2. Step 2: Convert to fraction form
    208.46/311.78 = 170.19/x
  3. Step 3: Cross multiply
    208.46x = 311.78 × 170.19
  4. Step 4: Simplify right side
    208.46x = 53,062.26
  5. Step 5: Solve for x
    x = 53,062.26/208.46
  6. Step 6: Final answer
    x = 254.54

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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.