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Finding the Fourth Proportional to 236.20, 325.62 and 167.08

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Solution

The fourth proportional to 236.20, 325.62 and 167.08 is: 230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 325.62 = 167.08 : x
  2. Step 2: Convert to fraction form
    236.20/325.62 = 167.08/x
  3. Step 3: Cross multiply
    236.20x = 325.62 × 167.08
  4. Step 4: Simplify right side
    236.20x = 54,404.59
  5. Step 5: Solve for x
    x = 54,404.59/236.20
  6. Step 6: Final answer
    x = 230.33

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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.