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Finding the Fourth Proportional to 271.80, 407.67 and 180.56

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Solution

The fourth proportional to 271.80, 407.67 and 180.56 is: 270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 407.67 = 180.56 : x
  2. Step 2: Convert to fraction form
    271.80/407.67 = 180.56/x
  3. Step 3: Cross multiply
    271.80x = 407.67 × 180.56
  4. Step 4: Simplify right side
    271.80x = 73,608.90
  5. Step 5: Solve for x
    x = 73,608.90/271.80
  6. Step 6: Final answer
    x = 270.82

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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.