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Finding the Fourth Proportional to 325.91, 488.05 and 181.46

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Solution

The fourth proportional to 325.91, 488.05 and 181.46 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.91 : 488.05 = 181.46 : x
  2. Step 2: Convert to fraction form
    325.91/488.05 = 181.46/x
  3. Step 3: Cross multiply
    325.91x = 488.05 × 181.46
  4. Step 4: Simplify right side
    325.91x = 88,562.32
  5. Step 5: Solve for x
    x = 88,562.32/325.91
  6. Step 6: Final answer
    x = 271.74

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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.