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Finding the Fourth Proportional to 263.59, 395.05 and 109.42

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Solution

The fourth proportional to 263.59, 395.05 and 109.42 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 395.05 = 109.42 : x
  2. Step 2: Convert to fraction form
    263.59/395.05 = 109.42/x
  3. Step 3: Cross multiply
    263.59x = 395.05 × 109.42
  4. Step 4: Simplify right side
    263.59x = 43,226.37
  5. Step 5: Solve for x
    x = 43,226.37/263.59
  6. Step 6: Final answer
    x = 163.99

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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.