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Finding the Fourth Proportional to 180.50, 249.09 and 102.92

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Solution

The fourth proportional to 180.50, 249.09 and 102.92 is: 142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 249.09 = 102.92 : x
  2. Step 2: Convert to fraction form
    180.50/249.09 = 102.92/x
  3. Step 3: Cross multiply
    180.50x = 249.09 × 102.92
  4. Step 4: Simplify right side
    180.50x = 25,636.34
  5. Step 5: Solve for x
    x = 25,636.34/180.50
  6. Step 6: Final answer
    x = 142.03

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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.