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Finding the Fourth Proportional to 238.43, 357.44 and 116.57

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Solution

The fourth proportional to 238.43, 357.44 and 116.57 is: 174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.43 : 357.44 = 116.57 : x
  2. Step 2: Convert to fraction form
    238.43/357.44 = 116.57/x
  3. Step 3: Cross multiply
    238.43x = 357.44 × 116.57
  4. Step 4: Simplify right side
    238.43x = 41,664.41
  5. Step 5: Solve for x
    x = 41,664.41/238.43
  6. Step 6: Final answer
    x = 174.75

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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.