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Finding the Fourth Proportional to 246.55, 369.91 and 109.57

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Solution

The fourth proportional to 246.55, 369.91 and 109.57 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.55 : 369.91 = 109.57 : x
  2. Step 2: Convert to fraction form
    246.55/369.91 = 109.57/x
  3. Step 3: Cross multiply
    246.55x = 369.91 × 109.57
  4. Step 4: Simplify right side
    246.55x = 40,530.33
  5. Step 5: Solve for x
    x = 40,530.33/246.55
  6. Step 6: Final answer
    x = 164.39

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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.