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Finding the Fourth Proportional to 154.19, 231.32 and 120.37

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Solution

The fourth proportional to 154.19, 231.32 and 120.37 is: 180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 231.32 = 120.37 : x
  2. Step 2: Convert to fraction form
    154.19/231.32 = 120.37/x
  3. Step 3: Cross multiply
    154.19x = 231.32 × 120.37
  4. Step 4: Simplify right side
    154.19x = 27,843.99
  5. Step 5: Solve for x
    x = 27,843.99/154.19
  6. Step 6: Final answer
    x = 180.58

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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.