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Finding the Fourth Proportional to 246.52, 339.41 and 202.34

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Solution

The fourth proportional to 246.52, 339.41 and 202.34 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.52 : 339.41 = 202.34 : x
  2. Step 2: Convert to fraction form
    246.52/339.41 = 202.34/x
  3. Step 3: Cross multiply
    246.52x = 339.41 × 202.34
  4. Step 4: Simplify right side
    246.52x = 68,676.30
  5. Step 5: Solve for x
    x = 68,676.30/246.52
  6. Step 6: Final answer
    x = 278.59

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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.