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Finding the Fourth Proportional to 180.99, 249.57 and 178.56

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Solution

The fourth proportional to 180.99, 249.57 and 178.56 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 249.57 = 178.56 : x
  2. Step 2: Convert to fraction form
    180.99/249.57 = 178.56/x
  3. Step 3: Cross multiply
    180.99x = 249.57 × 178.56
  4. Step 4: Simplify right side
    180.99x = 44,563.22
  5. Step 5: Solve for x
    x = 44,563.22/180.99
  6. Step 6: Final answer
    x = 246.22

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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.