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Finding the Fourth Proportional to 308.92, 426.34 and 184.64

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Solution

The fourth proportional to 308.92, 426.34 and 184.64 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.92 : 426.34 = 184.64 : x
  2. Step 2: Convert to fraction form
    308.92/426.34 = 184.64/x
  3. Step 3: Cross multiply
    308.92x = 426.34 × 184.64
  4. Step 4: Simplify right side
    308.92x = 78,719.42
  5. Step 5: Solve for x
    x = 78,719.42/308.92
  6. Step 6: Final answer
    x = 254.82

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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.