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Finding the Fourth Proportional to 246.68, 340.41 and 148.41

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Solution

The fourth proportional to 246.68, 340.41 and 148.41 is: 204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.68 : 340.41 = 148.41 : x
  2. Step 2: Convert to fraction form
    246.68/340.41 = 148.41/x
  3. Step 3: Cross multiply
    246.68x = 340.41 × 148.41
  4. Step 4: Simplify right side
    246.68x = 50,520.25
  5. Step 5: Solve for x
    x = 50,520.25/246.68
  6. Step 6: Final answer
    x = 204.80

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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.