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Finding the Fourth Proportional to 303.50, 419.19 and 205.09

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Solution

The fourth proportional to 303.50, 419.19 and 205.09 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 419.19 = 205.09 : x
  2. Step 2: Convert to fraction form
    303.50/419.19 = 205.09/x
  3. Step 3: Cross multiply
    303.50x = 419.19 × 205.09
  4. Step 4: Simplify right side
    303.50x = 85,971.68
  5. Step 5: Solve for x
    x = 85,971.68/303.50
  6. Step 6: Final answer
    x = 283.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.