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Finding the Fourth Proportional to 180.41, 270.86 and 93.81

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Solution

The fourth proportional to 180.41, 270.86 and 93.81 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 270.86 = 93.81 : x
  2. Step 2: Convert to fraction form
    180.41/270.86 = 93.81/x
  3. Step 3: Cross multiply
    180.41x = 270.86 × 93.81
  4. Step 4: Simplify right side
    180.41x = 25,407.55
  5. Step 5: Solve for x
    x = 25,407.55/180.41
  6. Step 6: Final answer
    x = 140.83

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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.