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Finding the Fourth Proportional to 246.86, 340.78 and 164.10

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Solution

The fourth proportional to 246.86, 340.78 and 164.10 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.86 : 340.78 = 164.10 : x
  2. Step 2: Convert to fraction form
    246.86/340.78 = 164.10/x
  3. Step 3: Cross multiply
    246.86x = 340.78 × 164.10
  4. Step 4: Simplify right side
    246.86x = 55,922.00
  5. Step 5: Solve for x
    x = 55,922.00/246.86
  6. Step 6: Final answer
    x = 226.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.