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Finding the Fourth Proportional to 180.57, 270.86 and 148.44

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Solution

The fourth proportional to 180.57, 270.86 and 148.44 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 270.86 = 148.44 : x
  2. Step 2: Convert to fraction form
    180.57/270.86 = 148.44/x
  3. Step 3: Cross multiply
    180.57x = 270.86 × 148.44
  4. Step 4: Simplify right side
    180.57x = 40,205.72
  5. Step 5: Solve for x
    x = 40,205.72/180.57
  6. Step 6: Final answer
    x = 222.66

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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.