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Finding the Fourth Proportional to 252.41, 378.36 and 143.97

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Solution

The fourth proportional to 252.41, 378.36 and 143.97 is: 215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.41 : 378.36 = 143.97 : x
  2. Step 2: Convert to fraction form
    252.41/378.36 = 143.97/x
  3. Step 3: Cross multiply
    252.41x = 378.36 × 143.97
  4. Step 4: Simplify right side
    252.41x = 54,472.49
  5. Step 5: Solve for x
    x = 54,472.49/252.41
  6. Step 6: Final answer
    x = 215.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.