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Finding the Fourth Proportional to 682.25, 1,023.36 and 195.30

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Solution

The fourth proportional to 682.25, 1,023.36 and 195.30 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 1,023.36 = 195.30 : x
  2. Step 2: Convert to fraction form
    682.25/1,023.36 = 195.30/x
  3. Step 3: Cross multiply
    682.25x = 1,023.36 × 195.30
  4. Step 4: Simplify right side
    682.25x = 199,862.21
  5. Step 5: Solve for x
    x = 199,862.21/682.25
  6. Step 6: Final answer
    x = 292.95

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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.