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Finding the Fourth Proportional to 203.86, 281.14 and 180.56

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Solution

The fourth proportional to 203.86, 281.14 and 180.56 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 281.14 = 180.56 : x
  2. Step 2: Convert to fraction form
    203.86/281.14 = 180.56/x
  3. Step 3: Cross multiply
    203.86x = 281.14 × 180.56
  4. Step 4: Simplify right side
    203.86x = 50,762.64
  5. Step 5: Solve for x
    x = 50,762.64/203.86
  6. Step 6: Final answer
    x = 249.01

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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.