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Finding the Fourth Proportional to 236.83, 327.20 and 202.22

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Solution

The fourth proportional to 236.83, 327.20 and 202.22 is: 279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.83 : 327.20 = 202.22 : x
  2. Step 2: Convert to fraction form
    236.83/327.20 = 202.22/x
  3. Step 3: Cross multiply
    236.83x = 327.20 × 202.22
  4. Step 4: Simplify right side
    236.83x = 66,167.71
  5. Step 5: Solve for x
    x = 66,167.71/236.83
  6. Step 6: Final answer
    x = 279.39

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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.