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Finding the Fourth Proportional to 681.67, 1,022.47 and 194.66

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Solution

The fourth proportional to 681.67, 1,022.47 and 194.66 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.67 : 1,022.47 = 194.66 : x
  2. Step 2: Convert to fraction form
    681.67/1,022.47 = 194.66/x
  3. Step 3: Cross multiply
    681.67x = 1,022.47 × 194.66
  4. Step 4: Simplify right side
    681.67x = 199,034.01
  5. Step 5: Solve for x
    x = 199,034.01/681.67
  6. Step 6: Final answer
    x = 291.98

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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.