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Finding the Fourth Proportional to 309.64, 427.40 and 204.82

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Solution

The fourth proportional to 309.64, 427.40 and 204.82 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 427.40 = 204.82 : x
  2. Step 2: Convert to fraction form
    309.64/427.40 = 204.82/x
  3. Step 3: Cross multiply
    309.64x = 427.40 × 204.82
  4. Step 4: Simplify right side
    309.64x = 87,540.52
  5. Step 5: Solve for x
    x = 87,540.52/309.64
  6. Step 6: Final answer
    x = 282.72

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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.