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Finding the Fourth Proportional to 768.96, 1,153.10 and 221.02

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Solution

The fourth proportional to 768.96, 1,153.10 and 221.02 is: 331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.96 : 1,153.10 = 221.02 : x
  2. Step 2: Convert to fraction form
    768.96/1,153.10 = 221.02/x
  3. Step 3: Cross multiply
    768.96x = 1,153.10 × 221.02
  4. Step 4: Simplify right side
    768.96x = 254,858.16
  5. Step 5: Solve for x
    x = 254,858.16/768.96
  6. Step 6: Final answer
    x = 331.43

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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.