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Finding the Fourth Proportional to 263.26, 394.60 and 89.77

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Solution

The fourth proportional to 263.26, 394.60 and 89.77 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 394.60 = 89.77 : x
  2. Step 2: Convert to fraction form
    263.26/394.60 = 89.77/x
  3. Step 3: Cross multiply
    263.26x = 394.60 × 89.77
  4. Step 4: Simplify right side
    263.26x = 35,420.82
  5. Step 5: Solve for x
    x = 35,420.82/263.26
  6. Step 6: Final answer
    x = 134.55

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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.