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Finding the Fourth Proportional to 206.65, 283.48 and 194.23

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Solution

The fourth proportional to 206.65, 283.48 and 194.23 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.65 : 283.48 = 194.23 : x
  2. Step 2: Convert to fraction form
    206.65/283.48 = 194.23/x
  3. Step 3: Cross multiply
    206.65x = 283.48 × 194.23
  4. Step 4: Simplify right side
    206.65x = 55,057.93
  5. Step 5: Solve for x
    x = 55,057.93/206.65
  6. Step 6: Final answer
    x = 266.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.