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Finding the Fourth Proportional to 455.25, 682.83 and 177.54

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Solution

The fourth proportional to 455.25, 682.83 and 177.54 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 682.83 = 177.54 : x
  2. Step 2: Convert to fraction form
    455.25/682.83 = 177.54/x
  3. Step 3: Cross multiply
    455.25x = 682.83 × 177.54
  4. Step 4: Simplify right side
    455.25x = 121,229.64
  5. Step 5: Solve for x
    x = 121,229.64/455.25
  6. Step 6: Final answer
    x = 266.29

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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.