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Finding the Fourth Proportional to 330.99, 456.77 and 181.63

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Solution

The fourth proportional to 330.99, 456.77 and 181.63 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 456.77 = 181.63 : x
  2. Step 2: Convert to fraction form
    330.99/456.77 = 181.63/x
  3. Step 3: Cross multiply
    330.99x = 456.77 × 181.63
  4. Step 4: Simplify right side
    330.99x = 82,965.44
  5. Step 5: Solve for x
    x = 82,965.44/330.99
  6. Step 6: Final answer
    x = 250.65

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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.