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Finding the Fourth Proportional to 178.73, 246.77 and 137.21

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Solution

The fourth proportional to 178.73, 246.77 and 137.21 is: 189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.73 : 246.77 = 137.21 : x
  2. Step 2: Convert to fraction form
    178.73/246.77 = 137.21/x
  3. Step 3: Cross multiply
    178.73x = 246.77 × 137.21
  4. Step 4: Simplify right side
    178.73x = 33,858.32
  5. Step 5: Solve for x
    x = 33,858.32/178.73
  6. Step 6: Final answer
    x = 189.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.