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Finding the Fourth Proportional to 323.00, 484.61 and 137.94

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Solution

The fourth proportional to 323.00, 484.61 and 137.94 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.00 : 484.61 = 137.94 : x
  2. Step 2: Convert to fraction form
    323.00/484.61 = 137.94/x
  3. Step 3: Cross multiply
    323.00x = 484.61 × 137.94
  4. Step 4: Simplify right side
    323.00x = 66,846.41
  5. Step 5: Solve for x
    x = 66,846.41/323.00
  6. Step 6: Final answer
    x = 206.96

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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.