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Finding the Fourth Proportional to 203.75, 305.76 and 89.75

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Solution

The fourth proportional to 203.75, 305.76 and 89.75 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.75 : 305.76 = 89.75 : x
  2. Step 2: Convert to fraction form
    203.75/305.76 = 89.75/x
  3. Step 3: Cross multiply
    203.75x = 305.76 × 89.75
  4. Step 4: Simplify right side
    203.75x = 27,441.96
  5. Step 5: Solve for x
    x = 27,441.96/203.75
  6. Step 6: Final answer
    x = 134.68

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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.