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Finding the Fourth Proportional to 203.86, 281.32 and 115.36

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Solution

The fourth proportional to 203.86, 281.32 and 115.36 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 281.32 = 115.36 : x
  2. Step 2: Convert to fraction form
    203.86/281.32 = 115.36/x
  3. Step 3: Cross multiply
    203.86x = 281.32 × 115.36
  4. Step 4: Simplify right side
    203.86x = 32,453.08
  5. Step 5: Solve for x
    x = 32,453.08/203.86
  6. Step 6: Final answer
    x = 159.19

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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.