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Finding the Fourth Proportional to 204.49, 305.09 and 178.78

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Solution

The fourth proportional to 204.49, 305.09 and 178.78 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.49 : 305.09 = 178.78 : x
  2. Step 2: Convert to fraction form
    204.49/305.09 = 178.78/x
  3. Step 3: Cross multiply
    204.49x = 305.09 × 178.78
  4. Step 4: Simplify right side
    204.49x = 54,543.99
  5. Step 5: Solve for x
    x = 54,543.99/204.49
  6. Step 6: Final answer
    x = 266.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.