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Finding the Fourth Proportional to 207.83, 311.75 and 53.77

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Solution

The fourth proportional to 207.83, 311.75 and 53.77 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 311.75 = 53.77 : x
  2. Step 2: Convert to fraction form
    207.83/311.75 = 53.77/x
  3. Step 3: Cross multiply
    207.83x = 311.75 × 53.77
  4. Step 4: Simplify right side
    207.83x = 16,761.75
  5. Step 5: Solve for x
    x = 16,761.75/207.83
  6. Step 6: Final answer
    x = 80.65

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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.