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Finding the Fourth Proportional to 178.96, 244.82 and 177.94

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Solution

The fourth proportional to 178.96, 244.82 and 177.94 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 244.82 = 177.94 : x
  2. Step 2: Convert to fraction form
    178.96/244.82 = 177.94/x
  3. Step 3: Cross multiply
    178.96x = 244.82 × 177.94
  4. Step 4: Simplify right side
    178.96x = 43,563.27
  5. Step 5: Solve for x
    x = 43,563.27/178.96
  6. Step 6: Final answer
    x = 243.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.