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Finding the Fourth Proportional to 681.82, 1,022.73 and 188.24

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Solution

The fourth proportional to 681.82, 1,022.73 and 188.24 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 1,022.73 = 188.24 : x
  2. Step 2: Convert to fraction form
    681.82/1,022.73 = 188.24/x
  3. Step 3: Cross multiply
    681.82x = 1,022.73 × 188.24
  4. Step 4: Simplify right side
    681.82x = 192,512.64
  5. Step 5: Solve for x
    x = 192,512.64/681.82
  6. Step 6: Final answer
    x = 282.35

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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.