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Finding the Fourth Proportional to 273.37, 377.25 and 149.03

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Solution

The fourth proportional to 273.37, 377.25 and 149.03 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.37 : 377.25 = 149.03 : x
  2. Step 2: Convert to fraction form
    273.37/377.25 = 149.03/x
  3. Step 3: Cross multiply
    273.37x = 377.25 × 149.03
  4. Step 4: Simplify right side
    273.37x = 56,223.50
  5. Step 5: Solve for x
    x = 56,223.50/273.37
  6. Step 6: Final answer
    x = 205.67

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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.