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Finding the Fourth Proportional to 238.96, 329.61 and 165.34

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Solution

The fourth proportional to 238.96, 329.61 and 165.34 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 329.61 = 165.34 : x
  2. Step 2: Convert to fraction form
    238.96/329.61 = 165.34/x
  3. Step 3: Cross multiply
    238.96x = 329.61 × 165.34
  4. Step 4: Simplify right side
    238.96x = 54,497.72
  5. Step 5: Solve for x
    x = 54,497.72/238.96
  6. Step 6: Final answer
    x = 228.06

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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.