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Finding the Fourth Proportional to 246.64, 367.92 and 205.60

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Solution

The fourth proportional to 246.64, 367.92 and 205.60 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.64 : 367.92 = 205.60 : x
  2. Step 2: Convert to fraction form
    246.64/367.92 = 205.60/x
  3. Step 3: Cross multiply
    246.64x = 367.92 × 205.60
  4. Step 4: Simplify right side
    246.64x = 75,644.35
  5. Step 5: Solve for x
    x = 75,644.35/246.64
  6. Step 6: Final answer
    x = 306.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.