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Finding the Fourth Proportional to 186.05, 257.84 and 183.44

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Solution

The fourth proportional to 186.05, 257.84 and 183.44 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 257.84 = 183.44 : x
  2. Step 2: Convert to fraction form
    186.05/257.84 = 183.44/x
  3. Step 3: Cross multiply
    186.05x = 257.84 × 183.44
  4. Step 4: Simplify right side
    186.05x = 47,297.25
  5. Step 5: Solve for x
    x = 47,297.25/186.05
  6. Step 6: Final answer
    x = 254.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.