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Finding the Fourth Proportional to 231.09, 318.99 and 143.74

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Solution

The fourth proportional to 231.09, 318.99 and 143.74 is: 198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 318.99 = 143.74 : x
  2. Step 2: Convert to fraction form
    231.09/318.99 = 143.74/x
  3. Step 3: Cross multiply
    231.09x = 318.99 × 143.74
  4. Step 4: Simplify right side
    231.09x = 45,851.92
  5. Step 5: Solve for x
    x = 45,851.92/231.09
  6. Step 6: Final answer
    x = 198.42

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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.