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Finding the Fourth Proportional to 231.57, 319.48 and 144.09

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Solution

The fourth proportional to 231.57, 319.48 and 144.09 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 319.48 = 144.09 : x
  2. Step 2: Convert to fraction form
    231.57/319.48 = 144.09/x
  3. Step 3: Cross multiply
    231.57x = 319.48 × 144.09
  4. Step 4: Simplify right side
    231.57x = 46,033.51
  5. Step 5: Solve for x
    x = 46,033.51/231.57
  6. Step 6: Final answer
    x = 198.79

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