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Finding the Fourth Proportional to 240.95, 361.94 and 231.44

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Solution

The fourth proportional to 240.95, 361.94 and 231.44 is: 347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.95 : 361.94 = 231.44 : x
  2. Step 2: Convert to fraction form
    240.95/361.94 = 231.44/x
  3. Step 3: Cross multiply
    240.95x = 361.94 × 231.44
  4. Step 4: Simplify right side
    240.95x = 83,764.43
  5. Step 5: Solve for x
    x = 83,764.43/240.95
  6. Step 6: Final answer
    x = 347.65

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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.