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Finding the Fourth Proportional to 325.94, 489.09 and 181.74

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Solution

The fourth proportional to 325.94, 489.09 and 181.74 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 489.09 = 181.74 : x
  2. Step 2: Convert to fraction form
    325.94/489.09 = 181.74/x
  3. Step 3: Cross multiply
    325.94x = 489.09 × 181.74
  4. Step 4: Simplify right side
    325.94x = 88,887.22
  5. Step 5: Solve for x
    x = 88,887.22/325.94
  6. Step 6: Final answer
    x = 272.71

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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.