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Finding the Fourth Proportional to 308.70, 426.10 and 177.80

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Solution

The fourth proportional to 308.70, 426.10 and 177.80 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 426.10 = 177.80 : x
  2. Step 2: Convert to fraction form
    308.70/426.10 = 177.80/x
  3. Step 3: Cross multiply
    308.70x = 426.10 × 177.80
  4. Step 4: Simplify right side
    308.70x = 75,758.45
  5. Step 5: Solve for x
    x = 75,758.45/308.70
  6. Step 6: Final answer
    x = 245.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.