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Finding the Fourth Proportional to 247.12, 341 and 180.84

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Solution

The fourth proportional to 247.12, 341 and 180.84 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.12 : 341 = 180.84 : x
  2. Step 2: Convert to fraction form
    247.12/341 = 180.84/x
  3. Step 3: Cross multiply
    247.12x = 341 × 180.84
  4. Step 4: Simplify right side
    247.12x = 61,666.44
  5. Step 5: Solve for x
    x = 61,666.44/247.12
  6. Step 6: Final answer
    x = 249.54

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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.