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Finding the Fourth Proportional to 455.28, 682.96 and 166.64

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Solution

The fourth proportional to 455.28, 682.96 and 166.64 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 682.96 = 166.64 : x
  2. Step 2: Convert to fraction form
    455.28/682.96 = 166.64/x
  3. Step 3: Cross multiply
    455.28x = 682.96 × 166.64
  4. Step 4: Simplify right side
    455.28x = 113,808.45
  5. Step 5: Solve for x
    x = 113,808.45/455.28
  6. Step 6: Final answer
    x = 249.97

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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.