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Finding the Fourth Proportional to 263.67, 395.63 and 109.64

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Solution

The fourth proportional to 263.67, 395.63 and 109.64 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.67 : 395.63 = 109.64 : x
  2. Step 2: Convert to fraction form
    263.67/395.63 = 109.64/x
  3. Step 3: Cross multiply
    263.67x = 395.63 × 109.64
  4. Step 4: Simplify right side
    263.67x = 43,374.35
  5. Step 5: Solve for x
    x = 43,374.35/263.67
  6. Step 6: Final answer
    x = 164.50

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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.