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Finding the Fourth Proportional to 371.22, 512.31 and 216.06

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Solution

The fourth proportional to 371.22, 512.31 and 216.06 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 512.31 = 216.06 : x
  2. Step 2: Convert to fraction form
    371.22/512.31 = 216.06/x
  3. Step 3: Cross multiply
    371.22x = 512.31 × 216.06
  4. Step 4: Simplify right side
    371.22x = 110,689.70
  5. Step 5: Solve for x
    x = 110,689.70/371.22
  6. Step 6: Final answer
    x = 298.18

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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.