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Finding the Fourth Proportional to 769.22, 1,153.80 and 221.39

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Solution

The fourth proportional to 769.22, 1,153.80 and 221.39 is: 332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.22 : 1,153.80 = 221.39 : x
  2. Step 2: Convert to fraction form
    769.22/1,153.80 = 221.39/x
  3. Step 3: Cross multiply
    769.22x = 1,153.80 × 221.39
  4. Step 4: Simplify right side
    769.22x = 255,434.01
  5. Step 5: Solve for x
    x = 255,434.01/769.22
  6. Step 6: Final answer
    x = 332.07

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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.