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Finding the Fourth Proportional to 331.10, 496.25 and 184.81

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Solution

The fourth proportional to 331.10, 496.25 and 184.81 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.10 : 496.25 = 184.81 : x
  2. Step 2: Convert to fraction form
    331.10/496.25 = 184.81/x
  3. Step 3: Cross multiply
    331.10x = 496.25 × 184.81
  4. Step 4: Simplify right side
    331.10x = 91,711.96
  5. Step 5: Solve for x
    x = 91,711.96/331.10
  6. Step 6: Final answer
    x = 276.99

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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.