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Finding the Fourth Proportional to 180.90, 249.75 and 125.73

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Solution

The fourth proportional to 180.90, 249.75 and 125.73 is: 173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 249.75 = 125.73 : x
  2. Step 2: Convert to fraction form
    180.90/249.75 = 125.73/x
  3. Step 3: Cross multiply
    180.90x = 249.75 × 125.73
  4. Step 4: Simplify right side
    180.90x = 31,401.07
  5. Step 5: Solve for x
    x = 31,401.07/180.90
  6. Step 6: Final answer
    x = 173.58

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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.