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Finding the Fourth Proportional to 308.91, 426.24 and 176.13

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Solution

The fourth proportional to 308.91, 426.24 and 176.13 is: 243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.91 : 426.24 = 176.13 : x
  2. Step 2: Convert to fraction form
    308.91/426.24 = 176.13/x
  3. Step 3: Cross multiply
    308.91x = 426.24 × 176.13
  4. Step 4: Simplify right side
    308.91x = 75,073.65
  5. Step 5: Solve for x
    x = 75,073.65/308.91
  6. Step 6: Final answer
    x = 243.03

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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.