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Finding the Fourth Proportional to 208.80, 311.67 and 194.40

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Solution

The fourth proportional to 208.80, 311.67 and 194.40 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 311.67 = 194.40 : x
  2. Step 2: Convert to fraction form
    208.80/311.67 = 194.40/x
  3. Step 3: Cross multiply
    208.80x = 311.67 × 194.40
  4. Step 4: Simplify right side
    208.80x = 60,588.65
  5. Step 5: Solve for x
    x = 60,588.65/208.80
  6. Step 6: Final answer
    x = 290.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.