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Finding the Fourth Proportional to 274.08, 410.16 and 201.76

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Solution

The fourth proportional to 274.08, 410.16 and 201.76 is: 301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 410.16 = 201.76 : x
  2. Step 2: Convert to fraction form
    274.08/410.16 = 201.76/x
  3. Step 3: Cross multiply
    274.08x = 410.16 × 201.76
  4. Step 4: Simplify right side
    274.08x = 82,753.88
  5. Step 5: Solve for x
    x = 82,753.88/274.08
  6. Step 6: Final answer
    x = 301.93

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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.