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Finding the Fourth Proportional to 308.96, 426.38 and 178.01

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Solution

The fourth proportional to 308.96, 426.38 and 178.01 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 426.38 = 178.01 : x
  2. Step 2: Convert to fraction form
    308.96/426.38 = 178.01/x
  3. Step 3: Cross multiply
    308.96x = 426.38 × 178.01
  4. Step 4: Simplify right side
    308.96x = 75,899.90
  5. Step 5: Solve for x
    x = 75,899.90/308.96
  6. Step 6: Final answer
    x = 245.66

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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.