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Finding the Fourth Proportional to 203.85, 305.46 and 135.41

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Solution

The fourth proportional to 203.85, 305.46 and 135.41 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 305.46 = 135.41 : x
  2. Step 2: Convert to fraction form
    203.85/305.46 = 135.41/x
  3. Step 3: Cross multiply
    203.85x = 305.46 × 135.41
  4. Step 4: Simplify right side
    203.85x = 41,360.81
  5. Step 5: Solve for x
    x = 41,360.81/203.85
  6. Step 6: Final answer
    x = 202.90

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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.