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Finding the Fourth Proportional to 768.89, 1,153.16 and 220.95

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Solution

The fourth proportional to 768.89, 1,153.16 and 220.95 is: 331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.89 : 1,153.16 = 220.95 : x
  2. Step 2: Convert to fraction form
    768.89/1,153.16 = 220.95/x
  3. Step 3: Cross multiply
    768.89x = 1,153.16 × 220.95
  4. Step 4: Simplify right side
    768.89x = 254,784.38
  5. Step 5: Solve for x
    x = 254,784.38/768.89
  6. Step 6: Final answer
    x = 331.37

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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.