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Finding the Fourth Proportional to 231.57, 319.41 and 144.24

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Solution

The fourth proportional to 231.57, 319.41 and 144.24 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 319.41 = 144.24 : x
  2. Step 2: Convert to fraction form
    231.57/319.41 = 144.24/x
  3. Step 3: Cross multiply
    231.57x = 319.41 × 144.24
  4. Step 4: Simplify right side
    231.57x = 46,071.70
  5. Step 5: Solve for x
    x = 46,071.70/231.57
  6. Step 6: Final answer
    x = 198.95

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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.