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Finding the Fourth Proportional to 768.84, 1,153.29 and 221.10

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Solution

The fourth proportional to 768.84, 1,153.29 and 221.10 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,153.29 = 221.10 : x
  2. Step 2: Convert to fraction form
    768.84/1,153.29 = 221.10/x
  3. Step 3: Cross multiply
    768.84x = 1,153.29 × 221.10
  4. Step 4: Simplify right side
    768.84x = 254,992.42
  5. Step 5: Solve for x
    x = 254,992.42/768.84
  6. Step 6: Final answer
    x = 331.66

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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.