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Finding the Fourth Proportional to 246.41, 340.07 and 204.89

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Solution

The fourth proportional to 246.41, 340.07 and 204.89 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.41 : 340.07 = 204.89 : x
  2. Step 2: Convert to fraction form
    246.41/340.07 = 204.89/x
  3. Step 3: Cross multiply
    246.41x = 340.07 × 204.89
  4. Step 4: Simplify right side
    246.41x = 69,676.01
  5. Step 5: Solve for x
    x = 69,676.01/246.41
  6. Step 6: Final answer
    x = 282.77

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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.