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Finding the Fourth Proportional to 203.83, 281.01 and 153.82

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Solution

The fourth proportional to 203.83, 281.01 and 153.82 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 281.01 = 153.82 : x
  2. Step 2: Convert to fraction form
    203.83/281.01 = 153.82/x
  3. Step 3: Cross multiply
    203.83x = 281.01 × 153.82
  4. Step 4: Simplify right side
    203.83x = 43,224.96
  5. Step 5: Solve for x
    x = 43,224.96/203.83
  6. Step 6: Final answer
    x = 212.06

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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.