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Finding the Fourth Proportional to 310.23, 427.99 and 205.38

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Solution

The fourth proportional to 310.23, 427.99 and 205.38 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 427.99 = 205.38 : x
  2. Step 2: Convert to fraction form
    310.23/427.99 = 205.38/x
  3. Step 3: Cross multiply
    310.23x = 427.99 × 205.38
  4. Step 4: Simplify right side
    310.23x = 87,900.59
  5. Step 5: Solve for x
    x = 87,900.59/310.23
  6. Step 6: Final answer
    x = 283.34

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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.