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Finding the Fourth Proportional to 455.10, 682.41 and 180.96

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Solution

The fourth proportional to 455.10, 682.41 and 180.96 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.10 : 682.41 = 180.96 : x
  2. Step 2: Convert to fraction form
    455.10/682.41 = 180.96/x
  3. Step 3: Cross multiply
    455.10x = 682.41 × 180.96
  4. Step 4: Simplify right side
    455.10x = 123,488.91
  5. Step 5: Solve for x
    x = 123,488.91/455.10
  6. Step 6: Final answer
    x = 271.34

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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.