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Finding the Fourth Proportional to 119.80, 180.66 and 118.18

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Solution

The fourth proportional to 119.80, 180.66 and 118.18 is: 178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 180.66 = 118.18 : x
  2. Step 2: Convert to fraction form
    119.80/180.66 = 118.18/x
  3. Step 3: Cross multiply
    119.80x = 180.66 × 118.18
  4. Step 4: Simplify right side
    119.80x = 21,348.90
  5. Step 5: Solve for x
    x = 21,348.90/119.80
  6. Step 6: Final answer
    x = 178.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.