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Finding the Fourth Proportional to 180.76, 249.46 and 102.09

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Solution

The fourth proportional to 180.76, 249.46 and 102.09 is: 140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 249.46 = 102.09 : x
  2. Step 2: Convert to fraction form
    180.76/249.46 = 102.09/x
  3. Step 3: Cross multiply
    180.76x = 249.46 × 102.09
  4. Step 4: Simplify right side
    180.76x = 25,467.37
  5. Step 5: Solve for x
    x = 25,467.37/180.76
  6. Step 6: Final answer
    x = 140.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.