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Finding the Fourth Proportional to 238.63, 329.33 and 145.37

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Solution

The fourth proportional to 238.63, 329.33 and 145.37 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.63 : 329.33 = 145.37 : x
  2. Step 2: Convert to fraction form
    238.63/329.33 = 145.37/x
  3. Step 3: Cross multiply
    238.63x = 329.33 × 145.37
  4. Step 4: Simplify right side
    238.63x = 47,872.33
  5. Step 5: Solve for x
    x = 47,872.33/238.63
  6. Step 6: Final answer
    x = 200.62

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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.