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Finding the Fourth Proportional to 246.36, 340.04 and 180.80

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Solution

The fourth proportional to 246.36, 340.04 and 180.80 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.36 : 340.04 = 180.80 : x
  2. Step 2: Convert to fraction form
    246.36/340.04 = 180.80/x
  3. Step 3: Cross multiply
    246.36x = 340.04 × 180.80
  4. Step 4: Simplify right side
    246.36x = 61,479.23
  5. Step 5: Solve for x
    x = 61,479.23/246.36
  6. Step 6: Final answer
    x = 249.55

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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.