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Finding the Fourth Proportional to 271.89, 407.78 and 180.66

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Solution

The fourth proportional to 271.89, 407.78 and 180.66 is: 270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 407.78 = 180.66 : x
  2. Step 2: Convert to fraction form
    271.89/407.78 = 180.66/x
  3. Step 3: Cross multiply
    271.89x = 407.78 × 180.66
  4. Step 4: Simplify right side
    271.89x = 73,668.41
  5. Step 5: Solve for x
    x = 73,668.41/271.89
  6. Step 6: Final answer
    x = 270.95

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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.