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Finding the Fourth Proportional to 851.20, 1,277 and 266.18

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Solution

The fourth proportional to 851.20, 1,277 and 266.18 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.20 : 1,277 = 266.18 : x
  2. Step 2: Convert to fraction form
    851.20/1,277 = 266.18/x
  3. Step 3: Cross multiply
    851.20x = 1,277 × 266.18
  4. Step 4: Simplify right side
    851.20x = 339,911.86
  5. Step 5: Solve for x
    x = 339,911.86/851.20
  6. Step 6: Final answer
    x = 399.33

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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.