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Finding the Fourth Proportional to 231.78, 319.84 and 144.44

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Solution

The fourth proportional to 231.78, 319.84 and 144.44 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 319.84 = 144.44 : x
  2. Step 2: Convert to fraction form
    231.78/319.84 = 144.44/x
  3. Step 3: Cross multiply
    231.78x = 319.84 × 144.44
  4. Step 4: Simplify right side
    231.78x = 46,197.69
  5. Step 5: Solve for x
    x = 46,197.69/231.78
  6. Step 6: Final answer
    x = 199.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.