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Finding the Fourth Proportional to 436.44, 654.67 and 111.80

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Solution

The fourth proportional to 436.44, 654.67 and 111.80 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.44 : 654.67 = 111.80 : x
  2. Step 2: Convert to fraction form
    436.44/654.67 = 111.80/x
  3. Step 3: Cross multiply
    436.44x = 654.67 × 111.80
  4. Step 4: Simplify right side
    436.44x = 73,193.88
  5. Step 5: Solve for x
    x = 73,193.88/436.44
  6. Step 6: Final answer
    x = 167.71

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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.