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Finding the Fourth Proportional to 271.60, 407.60 and 180.49

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Solution

The fourth proportional to 271.60, 407.60 and 180.49 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 407.60 = 180.49 : x
  2. Step 2: Convert to fraction form
    271.60/407.60 = 180.49/x
  3. Step 3: Cross multiply
    271.60x = 407.60 × 180.49
  4. Step 4: Simplify right side
    271.60x = 73,567.72
  5. Step 5: Solve for x
    x = 73,567.72/271.60
  6. Step 6: Final answer
    x = 270.87

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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.