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Finding the Fourth Proportional to 178.90, 246.81 and 137.38

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Solution

The fourth proportional to 178.90, 246.81 and 137.38 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 246.81 = 137.38 : x
  2. Step 2: Convert to fraction form
    178.90/246.81 = 137.38/x
  3. Step 3: Cross multiply
    178.90x = 246.81 × 137.38
  4. Step 4: Simplify right side
    178.90x = 33,906.76
  5. Step 5: Solve for x
    x = 33,906.76/178.90
  6. Step 6: Final answer
    x = 189.53

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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.