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Finding the Fourth Proportional to 236.85, 326.64 and 202.01

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Solution

The fourth proportional to 236.85, 326.64 and 202.01 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.85 : 326.64 = 202.01 : x
  2. Step 2: Convert to fraction form
    236.85/326.64 = 202.01/x
  3. Step 3: Cross multiply
    236.85x = 326.64 × 202.01
  4. Step 4: Simplify right side
    236.85x = 65,982.91
  5. Step 5: Solve for x
    x = 65,982.91/236.85
  6. Step 6: Final answer
    x = 278.59

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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.