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Finding the Fourth Proportional to 207.09, 311.86 and 180.36

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Solution

The fourth proportional to 207.09, 311.86 and 180.36 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 311.86 = 180.36 : x
  2. Step 2: Convert to fraction form
    207.09/311.86 = 180.36/x
  3. Step 3: Cross multiply
    207.09x = 311.86 × 180.36
  4. Step 4: Simplify right side
    207.09x = 56,247.07
  5. Step 5: Solve for x
    x = 56,247.07/207.09
  6. Step 6: Final answer
    x = 271.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.