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Finding the Fourth Proportional to 327.95, 491.97 and 111.54

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Solution

The fourth proportional to 327.95, 491.97 and 111.54 is: 167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.95 : 491.97 = 111.54 : x
  2. Step 2: Convert to fraction form
    327.95/491.97 = 111.54/x
  3. Step 3: Cross multiply
    327.95x = 491.97 × 111.54
  4. Step 4: Simplify right side
    327.95x = 54,875.28
  5. Step 5: Solve for x
    x = 54,875.28/327.95
  6. Step 6: Final answer
    x = 167.33

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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.