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Finding the Fourth Proportional to 154.88, 231.70 and 137.56

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Solution

The fourth proportional to 154.88, 231.70 and 137.56 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.88 : 231.70 = 137.56 : x
  2. Step 2: Convert to fraction form
    154.88/231.70 = 137.56/x
  3. Step 3: Cross multiply
    154.88x = 231.70 × 137.56
  4. Step 4: Simplify right side
    154.88x = 31,872.65
  5. Step 5: Solve for x
    x = 31,872.65/154.88
  6. Step 6: Final answer
    x = 205.79

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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.