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Finding the Fourth Proportional to 231.62, 319.69 and 144.24

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Solution

The fourth proportional to 231.62, 319.69 and 144.24 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.62 : 319.69 = 144.24 : x
  2. Step 2: Convert to fraction form
    231.62/319.69 = 144.24/x
  3. Step 3: Cross multiply
    231.62x = 319.69 × 144.24
  4. Step 4: Simplify right side
    231.62x = 46,112.09
  5. Step 5: Solve for x
    x = 46,112.09/231.62
  6. Step 6: Final answer
    x = 199.09

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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.