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Finding the Fourth Proportional to 246.27, 339.69 and 162.24

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Solution

The fourth proportional to 246.27, 339.69 and 162.24 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.27 : 339.69 = 162.24 : x
  2. Step 2: Convert to fraction form
    246.27/339.69 = 162.24/x
  3. Step 3: Cross multiply
    246.27x = 339.69 × 162.24
  4. Step 4: Simplify right side
    246.27x = 55,111.31
  5. Step 5: Solve for x
    x = 55,111.31/246.27
  6. Step 6: Final answer
    x = 223.78

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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.