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Finding the Fourth Proportional to 246.34, 339.84 and 167.56

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Solution

The fourth proportional to 246.34, 339.84 and 167.56 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.34 : 339.84 = 167.56 : x
  2. Step 2: Convert to fraction form
    246.34/339.84 = 167.56/x
  3. Step 3: Cross multiply
    246.34x = 339.84 × 167.56
  4. Step 4: Simplify right side
    246.34x = 56,943.59
  5. Step 5: Solve for x
    x = 56,943.59/246.34
  6. Step 6: Final answer
    x = 231.16

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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.