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Finding the Fourth Proportional to 236.08, 325.82 and 180.80

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Solution

The fourth proportional to 236.08, 325.82 and 180.80 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.08 : 325.82 = 180.80 : x
  2. Step 2: Convert to fraction form
    236.08/325.82 = 180.80/x
  3. Step 3: Cross multiply
    236.08x = 325.82 × 180.80
  4. Step 4: Simplify right side
    236.08x = 58,908.30
  5. Step 5: Solve for x
    x = 58,908.30/236.08
  6. Step 6: Final answer
    x = 249.53

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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.