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Finding the Fourth Proportional to 682.16, 1,023.26 and 195.21

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Solution

The fourth proportional to 682.16, 1,023.26 and 195.21 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,023.26 = 195.21 : x
  2. Step 2: Convert to fraction form
    682.16/1,023.26 = 195.21/x
  3. Step 3: Cross multiply
    682.16x = 1,023.26 × 195.21
  4. Step 4: Simplify right side
    682.16x = 199,749.61
  5. Step 5: Solve for x
    x = 199,749.61/682.16
  6. Step 6: Final answer
    x = 292.82

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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.