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Finding the Fourth Proportional to 238.89, 329.69 and 145.61

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Solution

The fourth proportional to 238.89, 329.69 and 145.61 is: 200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.89 : 329.69 = 145.61 : x
  2. Step 2: Convert to fraction form
    238.89/329.69 = 145.61/x
  3. Step 3: Cross multiply
    238.89x = 329.69 × 145.61
  4. Step 4: Simplify right side
    238.89x = 48,005.43
  5. Step 5: Solve for x
    x = 48,005.43/238.89
  6. Step 6: Final answer
    x = 200.96

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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.