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Finding the Fourth Proportional to 263.50, 395.44 and 109.46

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Solution

The fourth proportional to 263.50, 395.44 and 109.46 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 395.44 = 109.46 : x
  2. Step 2: Convert to fraction form
    263.50/395.44 = 109.46/x
  3. Step 3: Cross multiply
    263.50x = 395.44 × 109.46
  4. Step 4: Simplify right side
    263.50x = 43,284.86
  5. Step 5: Solve for x
    x = 43,284.86/263.50
  6. Step 6: Final answer
    x = 164.27

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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.