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Finding the Fourth Proportional to 681.94, 1,023.08 and 195.00

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Solution

The fourth proportional to 681.94, 1,023.08 and 195.00 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.94 : 1,023.08 = 195.00 : x
  2. Step 2: Convert to fraction form
    681.94/1,023.08 = 195.00/x
  3. Step 3: Cross multiply
    681.94x = 1,023.08 × 195.00
  4. Step 4: Simplify right side
    681.94x = 199,495.48
  5. Step 5: Solve for x
    x = 199,495.48/681.94
  6. Step 6: Final answer
    x = 292.54

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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.