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Finding the Fourth Proportional to 246.26, 368.91 and 138.12

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Solution

The fourth proportional to 246.26, 368.91 and 138.12 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.26 : 368.91 = 138.12 : x
  2. Step 2: Convert to fraction form
    246.26/368.91 = 138.12/x
  3. Step 3: Cross multiply
    246.26x = 368.91 × 138.12
  4. Step 4: Simplify right side
    246.26x = 50,953.85
  5. Step 5: Solve for x
    x = 50,953.85/246.26
  6. Step 6: Final answer
    x = 206.91

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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.