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Finding the Fourth Proportional to 246.90, 370.23 and 109.79

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Solution

The fourth proportional to 246.90, 370.23 and 109.79 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 370.23 = 109.79 : x
  2. Step 2: Convert to fraction form
    246.90/370.23 = 109.79/x
  3. Step 3: Cross multiply
    246.90x = 370.23 × 109.79
  4. Step 4: Simplify right side
    246.90x = 40,647.55
  5. Step 5: Solve for x
    x = 40,647.55/246.90
  6. Step 6: Final answer
    x = 164.63

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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.