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Finding the Fourth Proportional to 204.12, 305.91 and 149.76

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Solution

The fourth proportional to 204.12, 305.91 and 149.76 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.91 = 149.76 : x
  2. Step 2: Convert to fraction form
    204.12/305.91 = 149.76/x
  3. Step 3: Cross multiply
    204.12x = 305.91 × 149.76
  4. Step 4: Simplify right side
    204.12x = 45,813.08
  5. Step 5: Solve for x
    x = 45,813.08/204.12
  6. Step 6: Final answer
    x = 224.44

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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.