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Finding the Fourth Proportional to 330.36, 455.89 and 180.99

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Solution

The fourth proportional to 330.36, 455.89 and 180.99 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 455.89 = 180.99 : x
  2. Step 2: Convert to fraction form
    330.36/455.89 = 180.99/x
  3. Step 3: Cross multiply
    330.36x = 455.89 × 180.99
  4. Step 4: Simplify right side
    330.36x = 82,509.37
  5. Step 5: Solve for x
    x = 82,509.37/330.36
  6. Step 6: Final answer
    x = 249.76

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Why These Related Problems?

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