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Finding the Fourth Proportional to 263.86, 395.74 and 71.44

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Solution

The fourth proportional to 263.86, 395.74 and 71.44 is: 107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 395.74 = 71.44 : x
  2. Step 2: Convert to fraction form
    263.86/395.74 = 71.44/x
  3. Step 3: Cross multiply
    263.86x = 395.74 × 71.44
  4. Step 4: Simplify right side
    263.86x = 28,270.77
  5. Step 5: Solve for x
    x = 28,270.77/263.86
  6. Step 6: Final answer
    x = 107.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.