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Finding the Fourth Proportional to 308.08, 424.92 and 201.76

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Solution

The fourth proportional to 308.08, 424.92 and 201.76 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.08 : 424.92 = 201.76 : x
  2. Step 2: Convert to fraction form
    308.08/424.92 = 201.76/x
  3. Step 3: Cross multiply
    308.08x = 424.92 × 201.76
  4. Step 4: Simplify right side
    308.08x = 85,731.86
  5. Step 5: Solve for x
    x = 85,731.86/308.08
  6. Step 6: Final answer
    x = 278.28

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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.