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Finding the Fourth Proportional to 235.54, 324.94 and 137.27

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Solution

The fourth proportional to 235.54, 324.94 and 137.27 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.54 : 324.94 = 137.27 : x
  2. Step 2: Convert to fraction form
    235.54/324.94 = 137.27/x
  3. Step 3: Cross multiply
    235.54x = 324.94 × 137.27
  4. Step 4: Simplify right side
    235.54x = 44,604.51
  5. Step 5: Solve for x
    x = 44,604.51/235.54
  6. Step 6: Final answer
    x = 189.37

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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.