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Finding the Fourth Proportional to 246.25, 338.97 and 213.04

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Solution

The fourth proportional to 246.25, 338.97 and 213.04 is: 293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.25 : 338.97 = 213.04 : x
  2. Step 2: Convert to fraction form
    246.25/338.97 = 213.04/x
  3. Step 3: Cross multiply
    246.25x = 338.97 × 213.04
  4. Step 4: Simplify right side
    246.25x = 72,214.17
  5. Step 5: Solve for x
    x = 72,214.17/246.25
  6. Step 6: Final answer
    x = 293.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.