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Finding the Fourth Proportional to 309.25, 426.74 and 178.26

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Solution

The fourth proportional to 309.25, 426.74 and 178.26 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 426.74 = 178.26 : x
  2. Step 2: Convert to fraction form
    309.25/426.74 = 178.26/x
  3. Step 3: Cross multiply
    309.25x = 426.74 × 178.26
  4. Step 4: Simplify right side
    309.25x = 76,070.67
  5. Step 5: Solve for x
    x = 76,070.67/309.25
  6. Step 6: Final answer
    x = 245.98

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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.