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Finding the Fourth Proportional to 303.78, 455.12 and 166.62

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Solution

The fourth proportional to 303.78, 455.12 and 166.62 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 455.12 = 166.62 : x
  2. Step 2: Convert to fraction form
    303.78/455.12 = 166.62/x
  3. Step 3: Cross multiply
    303.78x = 455.12 × 166.62
  4. Step 4: Simplify right side
    303.78x = 75,832.09
  5. Step 5: Solve for x
    x = 75,832.09/303.78
  6. Step 6: Final answer
    x = 249.63

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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.