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Finding the Fourth Proportional to 303.82, 419.37 and 205.54

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Solution

The fourth proportional to 303.82, 419.37 and 205.54 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.82 : 419.37 = 205.54 : x
  2. Step 2: Convert to fraction form
    303.82/419.37 = 205.54/x
  3. Step 3: Cross multiply
    303.82x = 419.37 × 205.54
  4. Step 4: Simplify right side
    303.82x = 86,197.31
  5. Step 5: Solve for x
    x = 86,197.31/303.82
  6. Step 6: Final answer
    x = 283.71

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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.