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Finding the Fourth Proportional to 309.51, 427.23 and 204.56

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Solution

The fourth proportional to 309.51, 427.23 and 204.56 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 427.23 = 204.56 : x
  2. Step 2: Convert to fraction form
    309.51/427.23 = 204.56/x
  3. Step 3: Cross multiply
    309.51x = 427.23 × 204.56
  4. Step 4: Simplify right side
    309.51x = 87,395.55
  5. Step 5: Solve for x
    x = 87,395.55/309.51
  6. Step 6: Final answer
    x = 282.37

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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.