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Finding the Fourth Proportional to 234.20, 322.94 and 201.11

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Solution

The fourth proportional to 234.20, 322.94 and 201.11 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 322.94 = 201.11 : x
  2. Step 2: Convert to fraction form
    234.20/322.94 = 201.11/x
  3. Step 3: Cross multiply
    234.20x = 322.94 × 201.11
  4. Step 4: Simplify right side
    234.20x = 64,943.84
  5. Step 5: Solve for x
    x = 64,943.84/234.20
  6. Step 6: Final answer
    x = 277.31

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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.