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Finding the Fourth Proportional to 238.19, 356.45 and 231.26

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Solution

The fourth proportional to 238.19, 356.45 and 231.26 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.19 : 356.45 = 231.26 : x
  2. Step 2: Convert to fraction form
    238.19/356.45 = 231.26/x
  3. Step 3: Cross multiply
    238.19x = 356.45 × 231.26
  4. Step 4: Simplify right side
    238.19x = 82,429.69
  5. Step 5: Solve for x
    x = 82,429.69/238.19
  6. Step 6: Final answer
    x = 346.07

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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.