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Finding the Fourth Proportional to 246.20, 339.74 and 180.98

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Solution

The fourth proportional to 246.20, 339.74 and 180.98 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.20 : 339.74 = 180.98 : x
  2. Step 2: Convert to fraction form
    246.20/339.74 = 180.98/x
  3. Step 3: Cross multiply
    246.20x = 339.74 × 180.98
  4. Step 4: Simplify right side
    246.20x = 61,486.15
  5. Step 5: Solve for x
    x = 61,486.15/246.20
  6. Step 6: Final answer
    x = 249.74

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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.