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Finding the Fourth Proportional to 309.62, 427.25 and 227.07

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Solution

The fourth proportional to 309.62, 427.25 and 227.07 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.62 : 427.25 = 227.07 : x
  2. Step 2: Convert to fraction form
    309.62/427.25 = 227.07/x
  3. Step 3: Cross multiply
    309.62x = 427.25 × 227.07
  4. Step 4: Simplify right side
    309.62x = 97,016.23
  5. Step 5: Solve for x
    x = 97,016.23/309.62
  6. Step 6: Final answer
    x = 313.34

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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.