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Finding the Fourth Proportional to 768.86, 1,153.08 and 221.07

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Solution

The fourth proportional to 768.86, 1,153.08 and 221.07 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.86 : 1,153.08 = 221.07 : x
  2. Step 2: Convert to fraction form
    768.86/1,153.08 = 221.07/x
  3. Step 3: Cross multiply
    768.86x = 1,153.08 × 221.07
  4. Step 4: Simplify right side
    768.86x = 254,911.40
  5. Step 5: Solve for x
    x = 254,911.40/768.86
  6. Step 6: Final answer
    x = 331.54

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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.