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Finding the Fourth Proportional to 238.84, 329.46 and 161.32

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Solution

The fourth proportional to 238.84, 329.46 and 161.32 is: 222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.84 : 329.46 = 161.32 : x
  2. Step 2: Convert to fraction form
    238.84/329.46 = 161.32/x
  3. Step 3: Cross multiply
    238.84x = 329.46 × 161.32
  4. Step 4: Simplify right side
    238.84x = 53,148.49
  5. Step 5: Solve for x
    x = 53,148.49/238.84
  6. Step 6: Final answer
    x = 222.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.