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Finding the Fourth Proportional to 236.30, 325.94 and 166.22

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Solution

The fourth proportional to 236.30, 325.94 and 166.22 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.30 : 325.94 = 166.22 : x
  2. Step 2: Convert to fraction form
    236.30/325.94 = 166.22/x
  3. Step 3: Cross multiply
    236.30x = 325.94 × 166.22
  4. Step 4: Simplify right side
    236.30x = 54,177.75
  5. Step 5: Solve for x
    x = 54,177.75/236.30
  6. Step 6: Final answer
    x = 229.28

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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.