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Finding the Fourth Proportional to 251.35, 346.70 and 204.73

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Solution

The fourth proportional to 251.35, 346.70 and 204.73 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.35 : 346.70 = 204.73 : x
  2. Step 2: Convert to fraction form
    251.35/346.70 = 204.73/x
  3. Step 3: Cross multiply
    251.35x = 346.70 × 204.73
  4. Step 4: Simplify right side
    251.35x = 70,978.38
  5. Step 5: Solve for x
    x = 70,978.38/251.35
  6. Step 6: Final answer
    x = 282.39

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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.