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Finding the Fourth Proportional to 246.34, 369.46 and 92.23

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Solution

The fourth proportional to 246.34, 369.46 and 92.23 is: 138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.34 : 369.46 = 92.23 : x
  2. Step 2: Convert to fraction form
    246.34/369.46 = 92.23/x
  3. Step 3: Cross multiply
    246.34x = 369.46 × 92.23
  4. Step 4: Simplify right side
    246.34x = 34,075.30
  5. Step 5: Solve for x
    x = 34,075.30/246.34
  6. Step 6: Final answer
    x = 138.33

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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.