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Finding the Fourth Proportional to 246.72, 340.64 and 163.84

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Solution

The fourth proportional to 246.72, 340.64 and 163.84 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.72 : 340.64 = 163.84 : x
  2. Step 2: Convert to fraction form
    246.72/340.64 = 163.84/x
  3. Step 3: Cross multiply
    246.72x = 340.64 × 163.84
  4. Step 4: Simplify right side
    246.72x = 55,810.46
  5. Step 5: Solve for x
    x = 55,810.46/246.72
  6. Step 6: Final answer
    x = 226.21

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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.