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Finding the Fourth Proportional to 300.41, 450.46 and 137.95

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Solution

The fourth proportional to 300.41, 450.46 and 137.95 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 450.46 = 137.95 : x
  2. Step 2: Convert to fraction form
    300.41/450.46 = 137.95/x
  3. Step 3: Cross multiply
    300.41x = 450.46 × 137.95
  4. Step 4: Simplify right side
    300.41x = 62,140.27
  5. Step 5: Solve for x
    x = 62,140.27/300.41
  6. Step 6: Final answer
    x = 206.85

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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.