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Finding the Fourth Proportional to 272.90, 409.26 and 180.20

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Solution

The fourth proportional to 272.90, 409.26 and 180.20 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 409.26 = 180.20 : x
  2. Step 2: Convert to fraction form
    272.90/409.26 = 180.20/x
  3. Step 3: Cross multiply
    272.90x = 409.26 × 180.20
  4. Step 4: Simplify right side
    272.90x = 73,748.65
  5. Step 5: Solve for x
    x = 73,748.65/272.90
  6. Step 6: Final answer
    x = 270.24

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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.