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Finding the Fourth Proportional to 238.89, 329.70 and 180.57

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Solution

The fourth proportional to 238.89, 329.70 and 180.57 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.89 : 329.70 = 180.57 : x
  2. Step 2: Convert to fraction form
    238.89/329.70 = 180.57/x
  3. Step 3: Cross multiply
    238.89x = 329.70 × 180.57
  4. Step 4: Simplify right side
    238.89x = 59,533.93
  5. Step 5: Solve for x
    x = 59,533.93/238.89
  6. Step 6: Final answer
    x = 249.21

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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.