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Finding the Fourth Proportional to 300.19, 450.27 and 137.75

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Solution

The fourth proportional to 300.19, 450.27 and 137.75 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 450.27 = 137.75 : x
  2. Step 2: Convert to fraction form
    300.19/450.27 = 137.75/x
  3. Step 3: Cross multiply
    300.19x = 450.27 × 137.75
  4. Step 4: Simplify right side
    300.19x = 62,024.69
  5. Step 5: Solve for x
    x = 62,024.69/300.19
  6. Step 6: Final answer
    x = 206.62

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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.