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Finding the Fourth Proportional to 238.80, 329.49 and 165.27

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Solution

The fourth proportional to 238.80, 329.49 and 165.27 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 329.49 = 165.27 : x
  2. Step 2: Convert to fraction form
    238.80/329.49 = 165.27/x
  3. Step 3: Cross multiply
    238.80x = 329.49 × 165.27
  4. Step 4: Simplify right side
    238.80x = 54,454.81
  5. Step 5: Solve for x
    x = 54,454.81/238.80
  6. Step 6: Final answer
    x = 228.04

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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.