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Finding the Fourth Proportional to 180.75, 249.55 and 149.67

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Solution

The fourth proportional to 180.75, 249.55 and 149.67 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 249.55 = 149.67 : x
  2. Step 2: Convert to fraction form
    180.75/249.55 = 149.67/x
  3. Step 3: Cross multiply
    180.75x = 249.55 × 149.67
  4. Step 4: Simplify right side
    180.75x = 37,349.77
  5. Step 5: Solve for x
    x = 37,349.77/180.75
  6. Step 6: Final answer
    x = 206.63

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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.