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Finding the Fourth Proportional to 238.54, 329.12 and 145.27

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Solution

The fourth proportional to 238.54, 329.12 and 145.27 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 329.12 = 145.27 : x
  2. Step 2: Convert to fraction form
    238.54/329.12 = 145.27/x
  3. Step 3: Cross multiply
    238.54x = 329.12 × 145.27
  4. Step 4: Simplify right side
    238.54x = 47,809.62
  5. Step 5: Solve for x
    x = 47,809.62/238.54
  6. Step 6: Final answer
    x = 200.43

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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.