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Finding the Fourth Proportional to 274.82, 412.22 and 201.76

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Solution

The fourth proportional to 274.82, 412.22 and 201.76 is: 302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.82 : 412.22 = 201.76 : x
  2. Step 2: Convert to fraction form
    274.82/412.22 = 201.76/x
  3. Step 3: Cross multiply
    274.82x = 412.22 × 201.76
  4. Step 4: Simplify right side
    274.82x = 83,171.30
  5. Step 5: Solve for x
    x = 83,171.30/274.82
  6. Step 6: Final answer
    x = 302.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.