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Finding the Fourth Proportional to 207.54, 311.94 and 180.81

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Solution

The fourth proportional to 207.54, 311.94 and 180.81 is: 271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 311.94 = 180.81 : x
  2. Step 2: Convert to fraction form
    207.54/311.94 = 180.81/x
  3. Step 3: Cross multiply
    207.54x = 311.94 × 180.81
  4. Step 4: Simplify right side
    207.54x = 56,401.87
  5. Step 5: Solve for x
    x = 56,401.87/207.54
  6. Step 6: Final answer
    x = 271.76

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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.