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Finding the Fourth Proportional to 180.16, 248.69 and 121.19

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Solution

The fourth proportional to 180.16, 248.69 and 121.19 is: 167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.69 = 121.19 : x
  2. Step 2: Convert to fraction form
    180.16/248.69 = 121.19/x
  3. Step 3: Cross multiply
    180.16x = 248.69 × 121.19
  4. Step 4: Simplify right side
    180.16x = 30,138.14
  5. Step 5: Solve for x
    x = 30,138.14/180.16
  6. Step 6: Final answer
    x = 167.29

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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.