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Finding the Fourth Proportional to 454.05, 681.23 and 180.32

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Solution

The fourth proportional to 454.05, 681.23 and 180.32 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.05 : 681.23 = 180.32 : x
  2. Step 2: Convert to fraction form
    454.05/681.23 = 180.32/x
  3. Step 3: Cross multiply
    454.05x = 681.23 × 180.32
  4. Step 4: Simplify right side
    454.05x = 122,836.44
  5. Step 5: Solve for x
    x = 122,836.44/454.05
  6. Step 6: Final answer
    x = 270.54

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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.