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Finding the Third Proportional to 154 and 238.44

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Solution

The third proportional to 154 and 238.44 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 238.44 = 238.44 : x
  2. Step 2: Convert to fraction form
    154/238.44 = 238.44/x
  3. Step 3: Cross multiply
    154x = 238.44 × 238.44
  4. Step 4: Simplify right side
    154x = 56,852.44
  5. Step 5: Solve for x
    x = 56,852.44/154
  6. Step 6: Final answer
    x = 369.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.