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Finding the Fourth Proportional to 236.17, 325.71 and 180.82

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Solution

The fourth proportional to 236.17, 325.71 and 180.82 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.17 : 325.71 = 180.82 : x
  2. Step 2: Convert to fraction form
    236.17/325.71 = 180.82/x
  3. Step 3: Cross multiply
    236.17x = 325.71 × 180.82
  4. Step 4: Simplify right side
    236.17x = 58,894.88
  5. Step 5: Solve for x
    x = 58,894.88/236.17
  6. Step 6: Final answer
    x = 249.37

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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.