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Finding the Fourth Proportional to 301.93, 415.83 and 255.15

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Solution

The fourth proportional to 301.93, 415.83 and 255.15 is: 351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 415.83 = 255.15 : x
  2. Step 2: Convert to fraction form
    301.93/415.83 = 255.15/x
  3. Step 3: Cross multiply
    301.93x = 415.83 × 255.15
  4. Step 4: Simplify right side
    301.93x = 106,099.98
  5. Step 5: Solve for x
    x = 106,099.98/301.93
  6. Step 6: Final answer
    x = 351.41

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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.