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Finding the Fourth Proportional to 238.56, 329.14 and 145.31

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Solution

The fourth proportional to 238.56, 329.14 and 145.31 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.56 : 329.14 = 145.31 : x
  2. Step 2: Convert to fraction form
    238.56/329.14 = 145.31/x
  3. Step 3: Cross multiply
    238.56x = 329.14 × 145.31
  4. Step 4: Simplify right side
    238.56x = 47,827.33
  5. Step 5: Solve for x
    x = 47,827.33/238.56
  6. Step 6: Final answer
    x = 200.48

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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.