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Finding the Fourth Proportional to 455.44, 682.99 and 162.83

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Solution

The fourth proportional to 455.44, 682.99 and 162.83 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.44 : 682.99 = 162.83 : x
  2. Step 2: Convert to fraction form
    455.44/682.99 = 162.83/x
  3. Step 3: Cross multiply
    455.44x = 682.99 × 162.83
  4. Step 4: Simplify right side
    455.44x = 111,210.45
  5. Step 5: Solve for x
    x = 111,210.45/455.44
  6. Step 6: Final answer
    x = 244.18

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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.