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Finding the Fourth Proportional to 263.63, 395.17 and 109.35

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Solution

The fourth proportional to 263.63, 395.17 and 109.35 is: 163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 395.17 = 109.35 : x
  2. Step 2: Convert to fraction form
    263.63/395.17 = 109.35/x
  3. Step 3: Cross multiply
    263.63x = 395.17 × 109.35
  4. Step 4: Simplify right side
    263.63x = 43,210.49
  5. Step 5: Solve for x
    x = 43,210.49/263.63
  6. Step 6: Final answer
    x = 163.90

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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.