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Finding the Fourth Proportional to 455.75, 683.74 and 163.28

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Solution

The fourth proportional to 455.75, 683.74 and 163.28 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 683.74 = 163.28 : x
  2. Step 2: Convert to fraction form
    455.75/683.74 = 163.28/x
  3. Step 3: Cross multiply
    455.75x = 683.74 × 163.28
  4. Step 4: Simplify right side
    455.75x = 111,641.07
  5. Step 5: Solve for x
    x = 111,641.07/455.75
  6. Step 6: Final answer
    x = 244.96

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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.