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Finding the Fourth Proportional to 203.80, 305.62 and 75.56

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Solution

The fourth proportional to 203.80, 305.62 and 75.56 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.80 : 305.62 = 75.56 : x
  2. Step 2: Convert to fraction form
    203.80/305.62 = 75.56/x
  3. Step 3: Cross multiply
    203.80x = 305.62 × 75.56
  4. Step 4: Simplify right side
    203.80x = 23,092.65
  5. Step 5: Solve for x
    x = 23,092.65/203.80
  6. Step 6: Final answer
    x = 113.31

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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.