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Finding the Fourth Proportional to 303.92, 455.48 and 166.67

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Solution

The fourth proportional to 303.92, 455.48 and 166.67 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.92 : 455.48 = 166.67 : x
  2. Step 2: Convert to fraction form
    303.92/455.48 = 166.67/x
  3. Step 3: Cross multiply
    303.92x = 455.48 × 166.67
  4. Step 4: Simplify right side
    303.92x = 75,911.74
  5. Step 5: Solve for x
    x = 75,911.74/303.92
  6. Step 6: Final answer
    x = 249.78

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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.