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Finding the Fourth Proportional to 246.40, 368.92 and 206.04

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Solution

The fourth proportional to 246.40, 368.92 and 206.04 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 368.92 = 206.04 : x
  2. Step 2: Convert to fraction form
    246.40/368.92 = 206.04/x
  3. Step 3: Cross multiply
    246.40x = 368.92 × 206.04
  4. Step 4: Simplify right side
    246.40x = 76,012.28
  5. Step 5: Solve for x
    x = 76,012.28/246.40
  6. Step 6: Final answer
    x = 308.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.