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Finding the Fourth Proportional to 238.96, 329.82 and 139.35

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Solution

The fourth proportional to 238.96, 329.82 and 139.35 is: 192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 329.82 = 139.35 : x
  2. Step 2: Convert to fraction form
    238.96/329.82 = 139.35/x
  3. Step 3: Cross multiply
    238.96x = 329.82 × 139.35
  4. Step 4: Simplify right side
    238.96x = 45,960.42
  5. Step 5: Solve for x
    x = 45,960.42/238.96
  6. Step 6: Final answer
    x = 192.34

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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.