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Finding the Fourth Proportional to 203.90, 305.84 and 59.62

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Solution

The fourth proportional to 203.90, 305.84 and 59.62 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 305.84 = 59.62 : x
  2. Step 2: Convert to fraction form
    203.90/305.84 = 59.62/x
  3. Step 3: Cross multiply
    203.90x = 305.84 × 59.62
  4. Step 4: Simplify right side
    203.90x = 18,234.18
  5. Step 5: Solve for x
    x = 18,234.18/203.90
  6. Step 6: Final answer
    x = 89.43

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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.