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Finding the Fourth Proportional to 203.64, 305.23 and 81.78

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Solution

The fourth proportional to 203.64, 305.23 and 81.78 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.64 : 305.23 = 81.78 : x
  2. Step 2: Convert to fraction form
    203.64/305.23 = 81.78/x
  3. Step 3: Cross multiply
    203.64x = 305.23 × 81.78
  4. Step 4: Simplify right side
    203.64x = 24,961.71
  5. Step 5: Solve for x
    x = 24,961.71/203.64
  6. Step 6: Final answer
    x = 122.58

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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.