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Finding the Fourth Proportional to 303.41, 455.11 and 120.85

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Solution

The fourth proportional to 303.41, 455.11 and 120.85 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.41 : 455.11 = 120.85 : x
  2. Step 2: Convert to fraction form
    303.41/455.11 = 120.85/x
  3. Step 3: Cross multiply
    303.41x = 455.11 × 120.85
  4. Step 4: Simplify right side
    303.41x = 54,998.49
  5. Step 5: Solve for x
    x = 54,998.49/303.41
  6. Step 6: Final answer
    x = 181.27

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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.