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Finding the Fourth Proportional to 203.58, 281.30 and 154.85

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Solution

The fourth proportional to 203.58, 281.30 and 154.85 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 281.30 = 154.85 : x
  2. Step 2: Convert to fraction form
    203.58/281.30 = 154.85/x
  3. Step 3: Cross multiply
    203.58x = 281.30 × 154.85
  4. Step 4: Simplify right side
    203.58x = 43,557.12
  5. Step 5: Solve for x
    x = 43,557.12/203.58
  6. Step 6: Final answer
    x = 213.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.