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Finding the Fourth Proportional to 308.81, 426.16 and 177.82

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Solution

The fourth proportional to 308.81, 426.16 and 177.82 is: 245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 426.16 = 177.82 : x
  2. Step 2: Convert to fraction form
    308.81/426.16 = 177.82/x
  3. Step 3: Cross multiply
    308.81x = 426.16 × 177.82
  4. Step 4: Simplify right side
    308.81x = 75,780.13
  5. Step 5: Solve for x
    x = 75,780.13/308.81
  6. Step 6: Final answer
    x = 245.39

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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.