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Finding the Fourth Proportional to 321.77, 444.03 and 181.90

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Solution

The fourth proportional to 321.77, 444.03 and 181.90 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.77 : 444.03 = 181.90 : x
  2. Step 2: Convert to fraction form
    321.77/444.03 = 181.90/x
  3. Step 3: Cross multiply
    321.77x = 444.03 × 181.90
  4. Step 4: Simplify right side
    321.77x = 80,769.06
  5. Step 5: Solve for x
    x = 80,769.06/321.77
  6. Step 6: Final answer
    x = 251.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.