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Finding the Fourth Proportional to 271.55, 407.23 and 180.23

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Solution

The fourth proportional to 271.55, 407.23 and 180.23 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 407.23 = 180.23 : x
  2. Step 2: Convert to fraction form
    271.55/407.23 = 180.23/x
  3. Step 3: Cross multiply
    271.55x = 407.23 × 180.23
  4. Step 4: Simplify right side
    271.55x = 73,392.58
  5. Step 5: Solve for x
    x = 73,392.58/271.55
  6. Step 6: Final answer
    x = 270.27

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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.