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Finding the Fourth Proportional to 203.43, 305.19 and 105.96

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Solution

The fourth proportional to 203.43, 305.19 and 105.96 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 305.19 = 105.96 : x
  2. Step 2: Convert to fraction form
    203.43/305.19 = 105.96/x
  3. Step 3: Cross multiply
    203.43x = 305.19 × 105.96
  4. Step 4: Simplify right side
    203.43x = 32,337.93
  5. Step 5: Solve for x
    x = 32,337.93/203.43
  6. Step 6: Final answer
    x = 158.96

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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.