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Finding the Fourth Proportional to 180.37, 269.42 and 149.59

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Solution

The fourth proportional to 180.37, 269.42 and 149.59 is: 223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.37 : 269.42 = 149.59 : x
  2. Step 2: Convert to fraction form
    180.37/269.42 = 149.59/x
  3. Step 3: Cross multiply
    180.37x = 269.42 × 149.59
  4. Step 4: Simplify right side
    180.37x = 40,302.54
  5. Step 5: Solve for x
    x = 40,302.54/180.37
  6. Step 6: Final answer
    x = 223.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.