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Finding the Fourth Proportional to 454.29, 680.99 and 180.21

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Solution

The fourth proportional to 454.29, 680.99 and 180.21 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.29 : 680.99 = 180.21 : x
  2. Step 2: Convert to fraction form
    454.29/680.99 = 180.21/x
  3. Step 3: Cross multiply
    454.29x = 680.99 × 180.21
  4. Step 4: Simplify right side
    454.29x = 122,720.31
  5. Step 5: Solve for x
    x = 122,720.31/454.29
  6. Step 6: Final answer
    x = 270.14

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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.