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Finding the Fourth Proportional to 232.93, 321.16 and 200.13

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Solution

The fourth proportional to 232.93, 321.16 and 200.13 is: 275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 321.16 = 200.13 : x
  2. Step 2: Convert to fraction form
    232.93/321.16 = 200.13/x
  3. Step 3: Cross multiply
    232.93x = 321.16 × 200.13
  4. Step 4: Simplify right side
    232.93x = 64,273.75
  5. Step 5: Solve for x
    x = 64,273.75/232.93
  6. Step 6: Final answer
    x = 275.94

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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.