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Finding the Fourth Proportional to 180.06, 249.80 and 173.58

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Solution

The fourth proportional to 180.06, 249.80 and 173.58 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.06 : 249.80 = 173.58 : x
  2. Step 2: Convert to fraction form
    180.06/249.80 = 173.58/x
  3. Step 3: Cross multiply
    180.06x = 249.80 × 173.58
  4. Step 4: Simplify right side
    180.06x = 43,360.28
  5. Step 5: Solve for x
    x = 43,360.28/180.06
  6. Step 6: Final answer
    x = 240.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.