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Finding the Fourth Proportional to 246.94, 370.14 and 109.79

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Solution

The fourth proportional to 246.94, 370.14 and 109.79 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 370.14 = 109.79 : x
  2. Step 2: Convert to fraction form
    246.94/370.14 = 109.79/x
  3. Step 3: Cross multiply
    246.94x = 370.14 × 109.79
  4. Step 4: Simplify right side
    246.94x = 40,636.80
  5. Step 5: Solve for x
    x = 40,636.80/246.94
  6. Step 6: Final answer
    x = 164.56

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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.