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Finding the Fourth Proportional to 303.86, 455.49 and 166.62

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Solution

The fourth proportional to 303.86, 455.49 and 166.62 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 455.49 = 166.62 : x
  2. Step 2: Convert to fraction form
    303.86/455.49 = 166.62/x
  3. Step 3: Cross multiply
    303.86x = 455.49 × 166.62
  4. Step 4: Simplify right side
    303.86x = 75,895.45
  5. Step 5: Solve for x
    x = 75,895.45/303.86
  6. Step 6: Final answer
    x = 249.77

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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.