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Finding the Fourth Proportional to 180.96, 271.07 and 116.02

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Solution

The fourth proportional to 180.96, 271.07 and 116.02 is: 173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 271.07 = 116.02 : x
  2. Step 2: Convert to fraction form
    180.96/271.07 = 116.02/x
  3. Step 3: Cross multiply
    180.96x = 271.07 × 116.02
  4. Step 4: Simplify right side
    180.96x = 31,449.54
  5. Step 5: Solve for x
    x = 31,449.54/180.96
  6. Step 6: Final answer
    x = 173.79

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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.