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Finding the Fourth Proportional to 246.89, 370.34 and 137.37

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Solution

The fourth proportional to 246.89, 370.34 and 137.37 is: 206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.89 : 370.34 = 137.37 : x
  2. Step 2: Convert to fraction form
    246.89/370.34 = 137.37/x
  3. Step 3: Cross multiply
    246.89x = 370.34 × 137.37
  4. Step 4: Simplify right side
    246.89x = 50,873.64
  5. Step 5: Solve for x
    x = 50,873.64/246.89
  6. Step 6: Final answer
    x = 206.06

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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.