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Finding the Fourth Proportional to 154.90, 231.80 and 120.44

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Solution

The fourth proportional to 154.90, 231.80 and 120.44 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 231.80 = 120.44 : x
  2. Step 2: Convert to fraction form
    154.90/231.80 = 120.44/x
  3. Step 3: Cross multiply
    154.90x = 231.80 × 120.44
  4. Step 4: Simplify right side
    154.90x = 27,917.99
  5. Step 5: Solve for x
    x = 27,917.99/154.90
  6. Step 6: Final answer
    x = 180.23

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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.