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Finding the Fourth Proportional to 309.26, 426.76 and 178.24

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Solution

The fourth proportional to 309.26, 426.76 and 178.24 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 426.76 = 178.24 : x
  2. Step 2: Convert to fraction form
    309.26/426.76 = 178.24/x
  3. Step 3: Cross multiply
    309.26x = 426.76 × 178.24
  4. Step 4: Simplify right side
    309.26x = 76,065.70
  5. Step 5: Solve for x
    x = 76,065.70/309.26
  6. Step 6: Final answer
    x = 245.96

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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.