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Finding the Fourth Proportional to 309.44, 427.10 and 204.55

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Solution

The fourth proportional to 309.44, 427.10 and 204.55 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 427.10 = 204.55 : x
  2. Step 2: Convert to fraction form
    309.44/427.10 = 204.55/x
  3. Step 3: Cross multiply
    309.44x = 427.10 × 204.55
  4. Step 4: Simplify right side
    309.44x = 87,360.15
  5. Step 5: Solve for x
    x = 87,360.15/309.44
  6. Step 6: Final answer
    x = 282.32

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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.