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Finding the Fourth Proportional to 180.92, 271.86 and 138.68

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Solution

The fourth proportional to 180.92, 271.86 and 138.68 is: 208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 271.86 = 138.68 : x
  2. Step 2: Convert to fraction form
    180.92/271.86 = 138.68/x
  3. Step 3: Cross multiply
    180.92x = 271.86 × 138.68
  4. Step 4: Simplify right side
    180.92x = 37,701.54
  5. Step 5: Solve for x
    x = 37,701.54/180.92
  6. Step 6: Final answer
    x = 208.39

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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.