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Finding the Fourth Proportional to 236.28, 325.89 and 180.88

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Solution

The fourth proportional to 236.28, 325.89 and 180.88 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.28 : 325.89 = 180.88 : x
  2. Step 2: Convert to fraction form
    236.28/325.89 = 180.88/x
  3. Step 3: Cross multiply
    236.28x = 325.89 × 180.88
  4. Step 4: Simplify right side
    236.28x = 58,946.08
  5. Step 5: Solve for x
    x = 58,946.08/236.28
  6. Step 6: Final answer
    x = 249.48

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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.