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Finding the Fourth Proportional to 238.22, 356.76 and 116.09

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Solution

The fourth proportional to 238.22, 356.76 and 116.09 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 356.76 = 116.09 : x
  2. Step 2: Convert to fraction form
    238.22/356.76 = 116.09/x
  3. Step 3: Cross multiply
    238.22x = 356.76 × 116.09
  4. Step 4: Simplify right side
    238.22x = 41,416.27
  5. Step 5: Solve for x
    x = 41,416.27/238.22
  6. Step 6: Final answer
    x = 173.86

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Why These Related Problems?

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