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Finding the Fourth Proportional to 246.98, 340.80 and 164.18

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Solution

The fourth proportional to 246.98, 340.80 and 164.18 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.98 : 340.80 = 164.18 : x
  2. Step 2: Convert to fraction form
    246.98/340.80 = 164.18/x
  3. Step 3: Cross multiply
    246.98x = 340.80 × 164.18
  4. Step 4: Simplify right side
    246.98x = 55,952.54
  5. Step 5: Solve for x
    x = 55,952.54/246.98
  6. Step 6: Final answer
    x = 226.55

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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.