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Finding the Fourth Proportional to 246.95, 340.47 and 163.86

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Solution

The fourth proportional to 246.95, 340.47 and 163.86 is: 225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 340.47 = 163.86 : x
  2. Step 2: Convert to fraction form
    246.95/340.47 = 163.86/x
  3. Step 3: Cross multiply
    246.95x = 340.47 × 163.86
  4. Step 4: Simplify right side
    246.95x = 55,789.41
  5. Step 5: Solve for x
    x = 55,789.41/246.95
  6. Step 6: Final answer
    x = 225.92

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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.