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Finding the Fourth Proportional to 309.97, 427.67 and 177.19

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Solution

The fourth proportional to 309.97, 427.67 and 177.19 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 427.67 = 177.19 : x
  2. Step 2: Convert to fraction form
    309.97/427.67 = 177.19/x
  3. Step 3: Cross multiply
    309.97x = 427.67 × 177.19
  4. Step 4: Simplify right side
    309.97x = 75,778.85
  5. Step 5: Solve for x
    x = 75,778.85/309.97
  6. Step 6: Final answer
    x = 244.47

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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.