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Finding the Fourth Proportional to 180.44, 248.94 and 114

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Solution

The fourth proportional to 180.44, 248.94 and 114 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 248.94 = 114 : x
  2. Step 2: Convert to fraction form
    180.44/248.94 = 114/x
  3. Step 3: Cross multiply
    180.44x = 248.94 × 114
  4. Step 4: Simplify right side
    180.44x = 28,379.16
  5. Step 5: Solve for x
    x = 28,379.16/180.44
  6. Step 6: Final answer
    x = 157.28

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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.