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Finding the Fourth Proportional to 236.90, 326.31 and 200.03

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Solution

The fourth proportional to 236.90, 326.31 and 200.03 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 326.31 = 200.03 : x
  2. Step 2: Convert to fraction form
    236.90/326.31 = 200.03/x
  3. Step 3: Cross multiply
    236.90x = 326.31 × 200.03
  4. Step 4: Simplify right side
    236.90x = 65,271.79
  5. Step 5: Solve for x
    x = 65,271.79/236.90
  6. Step 6: Final answer
    x = 275.52

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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.