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Finding the Fourth Proportional to 454.08, 680.84 and 180.10

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Solution

The fourth proportional to 454.08, 680.84 and 180.10 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 680.84 = 180.10 : x
  2. Step 2: Convert to fraction form
    454.08/680.84 = 180.10/x
  3. Step 3: Cross multiply
    454.08x = 680.84 × 180.10
  4. Step 4: Simplify right side
    454.08x = 122,619.28
  5. Step 5: Solve for x
    x = 122,619.28/454.08
  6. Step 6: Final answer
    x = 270.04

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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.