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Finding the Fourth Proportional to 180.82, 249.51 and 103.20

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Solution

The fourth proportional to 180.82, 249.51 and 103.20 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 249.51 = 103.20 : x
  2. Step 2: Convert to fraction form
    180.82/249.51 = 103.20/x
  3. Step 3: Cross multiply
    180.82x = 249.51 × 103.20
  4. Step 4: Simplify right side
    180.82x = 25,749.43
  5. Step 5: Solve for x
    x = 25,749.43/180.82
  6. Step 6: Final answer
    x = 142.40

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