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Finding the Fourth Proportional to 238.72, 329.08 and 189.62

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Solution

The fourth proportional to 238.72, 329.08 and 189.62 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 329.08 = 189.62 : x
  2. Step 2: Convert to fraction form
    238.72/329.08 = 189.62/x
  3. Step 3: Cross multiply
    238.72x = 329.08 × 189.62
  4. Step 4: Simplify right side
    238.72x = 62,400.15
  5. Step 5: Solve for x
    x = 62,400.15/238.72
  6. Step 6: Final answer
    x = 261.39

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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.