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Finding the Fourth Proportional to 246.84, 340.68 and 164.06

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Solution

The fourth proportional to 246.84, 340.68 and 164.06 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.84 : 340.68 = 164.06 : x
  2. Step 2: Convert to fraction form
    246.84/340.68 = 164.06/x
  3. Step 3: Cross multiply
    246.84x = 340.68 × 164.06
  4. Step 4: Simplify right side
    246.84x = 55,892.15
  5. Step 5: Solve for x
    x = 55,892.15/246.84
  6. Step 6: Final answer
    x = 226.43

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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.