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Finding the Fourth Proportional to 308.75, 426.02 and 177.74

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Solution

The fourth proportional to 308.75, 426.02 and 177.74 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 426.02 = 177.74 : x
  2. Step 2: Convert to fraction form
    308.75/426.02 = 177.74/x
  3. Step 3: Cross multiply
    308.75x = 426.02 × 177.74
  4. Step 4: Simplify right side
    308.75x = 75,717.78
  5. Step 5: Solve for x
    x = 75,717.78/308.75
  6. Step 6: Final answer
    x = 245.24

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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.