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Finding the Fourth Proportional to 203.69, 281.40 and 185.87

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Solution

The fourth proportional to 203.69, 281.40 and 185.87 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.69 : 281.40 = 185.87 : x
  2. Step 2: Convert to fraction form
    203.69/281.40 = 185.87/x
  3. Step 3: Cross multiply
    203.69x = 281.40 × 185.87
  4. Step 4: Simplify right side
    203.69x = 52,303.82
  5. Step 5: Solve for x
    x = 52,303.82/203.69
  6. Step 6: Final answer
    x = 256.78

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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.