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Finding the Fourth Proportional to 246.86, 340.64 and 161.54

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Solution

The fourth proportional to 246.86, 340.64 and 161.54 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.86 : 340.64 = 161.54 : x
  2. Step 2: Convert to fraction form
    246.86/340.64 = 161.54/x
  3. Step 3: Cross multiply
    246.86x = 340.64 × 161.54
  4. Step 4: Simplify right side
    246.86x = 55,024.47
  5. Step 5: Solve for x
    x = 55,024.47/246.86
  6. Step 6: Final answer
    x = 222.90

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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.