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Finding the Fourth Proportional to 309.34, 426.94 and 185.02

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Solution

The fourth proportional to 309.34, 426.94 and 185.02 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 426.94 = 185.02 : x
  2. Step 2: Convert to fraction form
    309.34/426.94 = 185.02/x
  3. Step 3: Cross multiply
    309.34x = 426.94 × 185.02
  4. Step 4: Simplify right side
    309.34x = 78,992.44
  5. Step 5: Solve for x
    x = 78,992.44/309.34
  6. Step 6: Final answer
    x = 255.36

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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.