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Finding the Fourth Proportional to 180.35, 270.53 and 137.11

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Solution

The fourth proportional to 180.35, 270.53 and 137.11 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 270.53 = 137.11 : x
  2. Step 2: Convert to fraction form
    180.35/270.53 = 137.11/x
  3. Step 3: Cross multiply
    180.35x = 270.53 × 137.11
  4. Step 4: Simplify right side
    180.35x = 37,092.37
  5. Step 5: Solve for x
    x = 37,092.37/180.35
  6. Step 6: Final answer
    x = 205.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.