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Finding the Fourth Proportional to 255.29, 381.27 and 234.83

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Solution

The fourth proportional to 255.29, 381.27 and 234.83 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 381.27 = 234.83 : x
  2. Step 2: Convert to fraction form
    255.29/381.27 = 234.83/x
  3. Step 3: Cross multiply
    255.29x = 381.27 × 234.83
  4. Step 4: Simplify right side
    255.29x = 89,535.47
  5. Step 5: Solve for x
    x = 89,535.47/255.29
  6. Step 6: Final answer
    x = 350.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.