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Finding the Fourth Proportional to 247, 370.50 and 102.73

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Solution

The fourth proportional to 247, 370.50 and 102.73 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 370.50 = 102.73 : x
  2. Step 2: Convert to fraction form
    247/370.50 = 102.73/x
  3. Step 3: Cross multiply
    247x = 370.50 × 102.73
  4. Step 4: Simplify right side
    247x = 38,059.61
  5. Step 5: Solve for x
    x = 38,059.61/247
  6. Step 6: Final answer
    x = 154.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.