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Finding the Fourth Proportional to 686.22, 1,029.20 and 199.16

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Solution

The fourth proportional to 686.22, 1,029.20 and 199.16 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 1,029.20 = 199.16 : x
  2. Step 2: Convert to fraction form
    686.22/1,029.20 = 199.16/x
  3. Step 3: Cross multiply
    686.22x = 1,029.20 × 199.16
  4. Step 4: Simplify right side
    686.22x = 204,969.33
  5. Step 5: Solve for x
    x = 204,969.33/686.22
  6. Step 6: Final answer
    x = 298.69

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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.