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Finding the Fourth Proportional to 246.30, 339.36 and 180.72

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Solution

The fourth proportional to 246.30, 339.36 and 180.72 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.30 : 339.36 = 180.72 : x
  2. Step 2: Convert to fraction form
    246.30/339.36 = 180.72/x
  3. Step 3: Cross multiply
    246.30x = 339.36 × 180.72
  4. Step 4: Simplify right side
    246.30x = 61,329.14
  5. Step 5: Solve for x
    x = 61,329.14/246.30
  6. Step 6: Final answer
    x = 249.00

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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.