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Finding the Fourth Proportional to 203.91, 281.32 and 203.00

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Solution

The fourth proportional to 203.91, 281.32 and 203.00 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.91 : 281.32 = 203.00 : x
  2. Step 2: Convert to fraction form
    203.91/281.32 = 203.00/x
  3. Step 3: Cross multiply
    203.91x = 281.32 × 203.00
  4. Step 4: Simplify right side
    203.91x = 57,106.05
  5. Step 5: Solve for x
    x = 57,106.05/203.91
  6. Step 6: Final answer
    x = 280.06

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Why These Related Problems?

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