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Finding the Fourth Proportional to 310.11, 427.92 and 205.35

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Solution

The fourth proportional to 310.11, 427.92 and 205.35 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 427.92 = 205.35 : x
  2. Step 2: Convert to fraction form
    310.11/427.92 = 205.35/x
  3. Step 3: Cross multiply
    310.11x = 427.92 × 205.35
  4. Step 4: Simplify right side
    310.11x = 87,873.37
  5. Step 5: Solve for x
    x = 87,873.37/310.11
  6. Step 6: Final answer
    x = 283.36

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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.