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Finding the Fourth Proportional to 238.43, 357.48 and 122.83

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Solution

The fourth proportional to 238.43, 357.48 and 122.83 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.43 : 357.48 = 122.83 : x
  2. Step 2: Convert to fraction form
    238.43/357.48 = 122.83/x
  3. Step 3: Cross multiply
    238.43x = 357.48 × 122.83
  4. Step 4: Simplify right side
    238.43x = 43,908.37
  5. Step 5: Solve for x
    x = 43,908.37/238.43
  6. Step 6: Final answer
    x = 184.15

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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.