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Finding the Fourth Proportional to 180.96, 271.62 and 123.18

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Solution

The fourth proportional to 180.96, 271.62 and 123.18 is: 184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 271.62 = 123.18 : x
  2. Step 2: Convert to fraction form
    180.96/271.62 = 123.18/x
  3. Step 3: Cross multiply
    180.96x = 271.62 × 123.18
  4. Step 4: Simplify right side
    180.96x = 33,458.15
  5. Step 5: Solve for x
    x = 33,458.15/180.96
  6. Step 6: Final answer
    x = 184.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.