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Finding the Fourth Proportional to 367.44, 506.88 and 236.22

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Solution

The fourth proportional to 367.44, 506.88 and 236.22 is: 325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 506.88 = 236.22 : x
  2. Step 2: Convert to fraction form
    367.44/506.88 = 236.22/x
  3. Step 3: Cross multiply
    367.44x = 506.88 × 236.22
  4. Step 4: Simplify right side
    367.44x = 119,735.19
  5. Step 5: Solve for x
    x = 119,735.19/367.44
  6. Step 6: Final answer
    x = 325.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.