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Finding the Fourth Proportional to 327.12, 489.84 and 182.48

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Solution

The fourth proportional to 327.12, 489.84 and 182.48 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 489.84 = 182.48 : x
  2. Step 2: Convert to fraction form
    327.12/489.84 = 182.48/x
  3. Step 3: Cross multiply
    327.12x = 489.84 × 182.48
  4. Step 4: Simplify right side
    327.12x = 89,386.00
  5. Step 5: Solve for x
    x = 89,386.00/327.12
  6. Step 6: Final answer
    x = 273.25

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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.