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Finding the Fourth Proportional to 246.63, 340.20 and 213.56

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Solution

The fourth proportional to 246.63, 340.20 and 213.56 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.63 : 340.20 = 213.56 : x
  2. Step 2: Convert to fraction form
    246.63/340.20 = 213.56/x
  3. Step 3: Cross multiply
    246.63x = 340.20 × 213.56
  4. Step 4: Simplify right side
    246.63x = 72,651.41
  5. Step 5: Solve for x
    x = 72,651.41/246.63
  6. Step 6: Final answer
    x = 294.58

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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.