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Finding the Fourth Proportional to 309.51, 427.23 and 226.80

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Solution

The fourth proportional to 309.51, 427.23 and 226.80 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 427.23 = 226.80 : x
  2. Step 2: Convert to fraction form
    309.51/427.23 = 226.80/x
  3. Step 3: Cross multiply
    309.51x = 427.23 × 226.80
  4. Step 4: Simplify right side
    309.51x = 96,895.76
  5. Step 5: Solve for x
    x = 96,895.76/309.51
  6. Step 6: Final answer
    x = 313.06

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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.