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Finding the Fourth Proportional to 285.05, 393.05 and 185.33

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Solution

The fourth proportional to 285.05, 393.05 and 185.33 is: 255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 393.05 = 185.33 : x
  2. Step 2: Convert to fraction form
    285.05/393.05 = 185.33/x
  3. Step 3: Cross multiply
    285.05x = 393.05 × 185.33
  4. Step 4: Simplify right side
    285.05x = 72,843.96
  5. Step 5: Solve for x
    x = 72,843.96/285.05
  6. Step 6: Final answer
    x = 255.55

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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.