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Finding the Fourth Proportional to 303.67, 455.10 and 166.78

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Solution

The fourth proportional to 303.67, 455.10 and 166.78 is: 249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.67 : 455.10 = 166.78 : x
  2. Step 2: Convert to fraction form
    303.67/455.10 = 166.78/x
  3. Step 3: Cross multiply
    303.67x = 455.10 × 166.78
  4. Step 4: Simplify right side
    303.67x = 75,901.58
  5. Step 5: Solve for x
    x = 75,901.58/303.67
  6. Step 6: Final answer
    x = 249.95

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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.