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Finding the Fourth Proportional to 203.50, 305.39 and 149.77

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Solution

The fourth proportional to 203.50, 305.39 and 149.77 is: 224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 305.39 = 149.77 : x
  2. Step 2: Convert to fraction form
    203.50/305.39 = 149.77/x
  3. Step 3: Cross multiply
    203.50x = 305.39 × 149.77
  4. Step 4: Simplify right side
    203.50x = 45,738.26
  5. Step 5: Solve for x
    x = 45,738.26/203.50
  6. Step 6: Final answer
    x = 224.76

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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.