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Finding the Fourth Proportional to 309.20, 426.60 and 178.13

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Solution

The fourth proportional to 309.20, 426.60 and 178.13 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 426.60 = 178.13 : x
  2. Step 2: Convert to fraction form
    309.20/426.60 = 178.13/x
  3. Step 3: Cross multiply
    309.20x = 426.60 × 178.13
  4. Step 4: Simplify right side
    309.20x = 75,990.26
  5. Step 5: Solve for x
    x = 75,990.26/309.20
  6. Step 6: Final answer
    x = 245.76

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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.