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Finding the Fourth Proportional to 231.95, 347.94 and 163.78

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Solution

The fourth proportional to 231.95, 347.94 and 163.78 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.95 : 347.94 = 163.78 : x
  2. Step 2: Convert to fraction form
    231.95/347.94 = 163.78/x
  3. Step 3: Cross multiply
    231.95x = 347.94 × 163.78
  4. Step 4: Simplify right side
    231.95x = 56,986.76
  5. Step 5: Solve for x
    x = 56,986.76/231.95
  6. Step 6: Final answer
    x = 245.68

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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.