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Finding the Fourth Proportional to 180.34, 269.24 and 149.98

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Solution

The fourth proportional to 180.34, 269.24 and 149.98 is: 223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 269.24 = 149.98 : x
  2. Step 2: Convert to fraction form
    180.34/269.24 = 149.98/x
  3. Step 3: Cross multiply
    180.34x = 269.24 × 149.98
  4. Step 4: Simplify right side
    180.34x = 40,380.62
  5. Step 5: Solve for x
    x = 40,380.62/180.34
  6. Step 6: Final answer
    x = 223.91

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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.