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Finding the Fourth Proportional to 180.70, 271.26 and 119.95

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Solution

The fourth proportional to 180.70, 271.26 and 119.95 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 271.26 = 119.95 : x
  2. Step 2: Convert to fraction form
    180.70/271.26 = 119.95/x
  3. Step 3: Cross multiply
    180.70x = 271.26 × 119.95
  4. Step 4: Simplify right side
    180.70x = 32,537.64
  5. Step 5: Solve for x
    x = 32,537.64/180.70
  6. Step 6: Final answer
    x = 180.06

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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.