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Finding the Fourth Proportional to 301.96, 416.34 and 255.25

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Solution

The fourth proportional to 301.96, 416.34 and 255.25 is: 351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.34 = 255.25 : x
  2. Step 2: Convert to fraction form
    301.96/416.34 = 255.25/x
  3. Step 3: Cross multiply
    301.96x = 416.34 × 255.25
  4. Step 4: Simplify right side
    301.96x = 106,270.79
  5. Step 5: Solve for x
    x = 106,270.79/301.96
  6. Step 6: Final answer
    x = 351.94

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