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Finding the Fourth Proportional to 233.17, 351.22 and 179.44

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Solution

The fourth proportional to 233.17, 351.22 and 179.44 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 351.22 = 179.44 : x
  2. Step 2: Convert to fraction form
    233.17/351.22 = 179.44/x
  3. Step 3: Cross multiply
    233.17x = 351.22 × 179.44
  4. Step 4: Simplify right side
    233.17x = 63,022.92
  5. Step 5: Solve for x
    x = 63,022.92/233.17
  6. Step 6: Final answer
    x = 270.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.