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Finding the Fourth Proportional to 236.21, 325.71 and 180.81

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Solution

The fourth proportional to 236.21, 325.71 and 180.81 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.21 : 325.71 = 180.81 : x
  2. Step 2: Convert to fraction form
    236.21/325.71 = 180.81/x
  3. Step 3: Cross multiply
    236.21x = 325.71 × 180.81
  4. Step 4: Simplify right side
    236.21x = 58,891.63
  5. Step 5: Solve for x
    x = 58,891.63/236.21
  6. Step 6: Final answer
    x = 249.32

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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.