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Finding the Fourth Proportional to 455.08, 682.36 and 166.36

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Solution

The fourth proportional to 455.08, 682.36 and 166.36 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 682.36 = 166.36 : x
  2. Step 2: Convert to fraction form
    455.08/682.36 = 166.36/x
  3. Step 3: Cross multiply
    455.08x = 682.36 × 166.36
  4. Step 4: Simplify right side
    455.08x = 113,517.41
  5. Step 5: Solve for x
    x = 113,517.41/455.08
  6. Step 6: Final answer
    x = 249.44

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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.