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Finding the Fourth Proportional to 306.81, 461.23 and 238.37

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Solution

The fourth proportional to 306.81, 461.23 and 238.37 is: 358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 461.23 = 238.37 : x
  2. Step 2: Convert to fraction form
    306.81/461.23 = 238.37/x
  3. Step 3: Cross multiply
    306.81x = 461.23 × 238.37
  4. Step 4: Simplify right side
    306.81x = 109,940.49
  5. Step 5: Solve for x
    x = 109,940.49/306.81
  6. Step 6: Final answer
    x = 358.33

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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.