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Finding the Fourth Proportional to 330.04, 455.45 and 180.67

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Solution

The fourth proportional to 330.04, 455.45 and 180.67 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.04 : 455.45 = 180.67 : x
  2. Step 2: Convert to fraction form
    330.04/455.45 = 180.67/x
  3. Step 3: Cross multiply
    330.04x = 455.45 × 180.67
  4. Step 4: Simplify right side
    330.04x = 82,286.15
  5. Step 5: Solve for x
    x = 82,286.15/330.04
  6. Step 6: Final answer
    x = 249.32

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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.