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Finding the Fourth Proportional to 303.92, 455.91 and 166.94

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Solution

The fourth proportional to 303.92, 455.91 and 166.94 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.92 : 455.91 = 166.94 : x
  2. Step 2: Convert to fraction form
    303.92/455.91 = 166.94/x
  3. Step 3: Cross multiply
    303.92x = 455.91 × 166.94
  4. Step 4: Simplify right side
    303.92x = 76,109.62
  5. Step 5: Solve for x
    x = 76,109.62/303.92
  6. Step 6: Final answer
    x = 250.43

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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.