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Finding the Fourth Proportional to 207.57, 311.36 and 180.84

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Solution

The fourth proportional to 207.57, 311.36 and 180.84 is: 271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.57 : 311.36 = 180.84 : x
  2. Step 2: Convert to fraction form
    207.57/311.36 = 180.84/x
  3. Step 3: Cross multiply
    207.57x = 311.36 × 180.84
  4. Step 4: Simplify right side
    207.57x = 56,305.44
  5. Step 5: Solve for x
    x = 56,305.44/207.57
  6. Step 6: Final answer
    x = 271.26

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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.