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Finding the Fourth Proportional to 180.76, 249.44 and 103.14

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Solution

The fourth proportional to 180.76, 249.44 and 103.14 is: 142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 249.44 = 103.14 : x
  2. Step 2: Convert to fraction form
    180.76/249.44 = 103.14/x
  3. Step 3: Cross multiply
    180.76x = 249.44 × 103.14
  4. Step 4: Simplify right side
    180.76x = 25,727.24
  5. Step 5: Solve for x
    x = 25,727.24/180.76
  6. Step 6: Final answer
    x = 142.33

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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.