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Finding the Fourth Proportional to 238.62, 357.39 and 142.23

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Solution

The fourth proportional to 238.62, 357.39 and 142.23 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.62 : 357.39 = 142.23 : x
  2. Step 2: Convert to fraction form
    238.62/357.39 = 142.23/x
  3. Step 3: Cross multiply
    238.62x = 357.39 × 142.23
  4. Step 4: Simplify right side
    238.62x = 50,831.22
  5. Step 5: Solve for x
    x = 50,831.22/238.62
  6. Step 6: Final answer
    x = 213.02

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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.