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Finding the Fourth Proportional to 246.95, 340.66 and 164.18

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Solution

The fourth proportional to 246.95, 340.66 and 164.18 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 340.66 = 164.18 : x
  2. Step 2: Convert to fraction form
    246.95/340.66 = 164.18/x
  3. Step 3: Cross multiply
    246.95x = 340.66 × 164.18
  4. Step 4: Simplify right side
    246.95x = 55,927.78
  5. Step 5: Solve for x
    x = 55,927.78/246.95
  6. Step 6: Final answer
    x = 226.48

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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.