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Finding the Fourth Proportional to 246.96, 340.68 and 203.64

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Solution

The fourth proportional to 246.96, 340.68 and 203.64 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 340.68 = 203.64 : x
  2. Step 2: Convert to fraction form
    246.96/340.68 = 203.64/x
  3. Step 3: Cross multiply
    246.96x = 340.68 × 203.64
  4. Step 4: Simplify right side
    246.96x = 69,376.08
  5. Step 5: Solve for x
    x = 69,376.08/246.96
  6. Step 6: Final answer
    x = 280.92

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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.