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Finding the Fourth Proportional to 207.96, 312.12 and 180.78

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Solution

The fourth proportional to 207.96, 312.12 and 180.78 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 312.12 = 180.78 : x
  2. Step 2: Convert to fraction form
    207.96/312.12 = 180.78/x
  3. Step 3: Cross multiply
    207.96x = 312.12 × 180.78
  4. Step 4: Simplify right side
    207.96x = 56,425.05
  5. Step 5: Solve for x
    x = 56,425.05/207.96
  6. Step 6: Final answer
    x = 271.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.