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Finding the Fourth Proportional to 309.22, 426.76 and 178.22

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Solution

The fourth proportional to 309.22, 426.76 and 178.22 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 426.76 = 178.22 : x
  2. Step 2: Convert to fraction form
    309.22/426.76 = 178.22/x
  3. Step 3: Cross multiply
    309.22x = 426.76 × 178.22
  4. Step 4: Simplify right side
    309.22x = 76,057.17
  5. Step 5: Solve for x
    x = 76,057.17/309.22
  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.