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Finding the Fourth Proportional to 246.34, 340.04 and 167.61

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Solution

The fourth proportional to 246.34, 340.04 and 167.61 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.34 : 340.04 = 167.61 : x
  2. Step 2: Convert to fraction form
    246.34/340.04 = 167.61/x
  3. Step 3: Cross multiply
    246.34x = 340.04 × 167.61
  4. Step 4: Simplify right side
    246.34x = 56,994.10
  5. Step 5: Solve for x
    x = 56,994.10/246.34
  6. Step 6: Final answer
    x = 231.36

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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.